What are the Benefits of Threshold Signatures for Crypto ...

Bitcoin (BTC)A Peer-to-Peer Electronic Cash System.

Bitcoin (BTC)A Peer-to-Peer Electronic Cash System.
  • Bitcoin (BTC) is a peer-to-peer cryptocurrency that aims to function as a means of exchange that is independent of any central authority. BTC can be transferred electronically in a secure, verifiable, and immutable way.
  • Launched in 2009, BTC is the first virtual currency to solve the double-spending issue by timestamping transactions before broadcasting them to all of the nodes in the Bitcoin network. The Bitcoin Protocol offered a solution to the Byzantine Generals’ Problem with a blockchain network structure, a notion first created by Stuart Haber and W. Scott Stornetta in 1991.
  • Bitcoin’s whitepaper was published pseudonymously in 2008 by an individual, or a group, with the pseudonym “Satoshi Nakamoto”, whose underlying identity has still not been verified.
  • The Bitcoin protocol uses an SHA-256d-based Proof-of-Work (PoW) algorithm to reach network consensus. Its network has a target block time of 10 minutes and a maximum supply of 21 million tokens, with a decaying token emission rate. To prevent fluctuation of the block time, the network’s block difficulty is re-adjusted through an algorithm based on the past 2016 block times.
  • With a block size limit capped at 1 megabyte, the Bitcoin Protocol has supported both the Lightning Network, a second-layer infrastructure for payment channels, and Segregated Witness, a soft-fork to increase the number of transactions on a block, as solutions to network scalability.


1. What is Bitcoin (BTC)?

  • Bitcoin is a peer-to-peer cryptocurrency that aims to function as a means of exchange and is independent of any central authority. Bitcoins are transferred electronically in a secure, verifiable, and immutable way.
  • Network validators, whom are often referred to as miners, participate in the SHA-256d-based Proof-of-Work consensus mechanism to determine the next global state of the blockchain.
  • The Bitcoin protocol has a target block time of 10 minutes, and a maximum supply of 21 million tokens. The only way new bitcoins can be produced is when a block producer generates a new valid block.
  • The protocol has a token emission rate that halves every 210,000 blocks, or approximately every 4 years.
  • Unlike public blockchain infrastructures supporting the development of decentralized applications (Ethereum), the Bitcoin protocol is primarily used only for payments, and has only very limited support for smart contract-like functionalities (Bitcoin “Script” is mostly used to create certain conditions before bitcoins are used to be spent).

2. Bitcoin’s core features

For a more beginner’s introduction to Bitcoin, please visit Binance Academy’s guide to Bitcoin.

Unspent Transaction Output (UTXO) model

A UTXO transaction works like cash payment between two parties: Alice gives money to Bob and receives change (i.e., unspent amount). In comparison, blockchains like Ethereum rely on the account model.

Nakamoto consensus

In the Bitcoin network, anyone can join the network and become a bookkeeping service provider i.e., a validator. All validators are allowed in the race to become the block producer for the next block, yet only the first to complete a computationally heavy task will win. This feature is called Proof of Work (PoW).
The probability of any single validator to finish the task first is equal to the percentage of the total network computation power, or hash power, the validator has. For instance, a validator with 5% of the total network computation power will have a 5% chance of completing the task first, and therefore becoming the next block producer.
Since anyone can join the race, competition is prone to increase. In the early days, Bitcoin mining was mostly done by personal computer CPUs.
As of today, Bitcoin validators, or miners, have opted for dedicated and more powerful devices such as machines based on Application-Specific Integrated Circuit (“ASIC”).
Proof of Work secures the network as block producers must have spent resources external to the network (i.e., money to pay electricity), and can provide proof to other participants that they did so.
With various miners competing for block rewards, it becomes difficult for one single malicious party to gain network majority (defined as more than 51% of the network’s hash power in the Nakamoto consensus mechanism). The ability to rearrange transactions via 51% attacks indicates another feature of the Nakamoto consensus: the finality of transactions is only probabilistic.
Once a block is produced, it is then propagated by the block producer to all other validators to check on the validity of all transactions in that block. The block producer will receive rewards in the network’s native currency (i.e., bitcoin) as all validators approve the block and update their ledgers.

The blockchain

Block production

The Bitcoin protocol utilizes the Merkle tree data structure in order to organize hashes of numerous individual transactions into each block. This concept is named after Ralph Merkle, who patented it in 1979.
With the use of a Merkle tree, though each block might contain thousands of transactions, it will have the ability to combine all of their hashes and condense them into one, allowing efficient and secure verification of this group of transactions. This single hash called is a Merkle root, which is stored in the Block Header of a block. The Block Header also stores other meta information of a block, such as a hash of the previous Block Header, which enables blocks to be associated in a chain-like structure (hence the name “blockchain”).
An illustration of block production in the Bitcoin Protocol is demonstrated below.


Block time and mining difficulty

Block time is the period required to create the next block in a network. As mentioned above, the node who solves the computationally intensive task will be allowed to produce the next block. Therefore, block time is directly correlated to the amount of time it takes for a node to find a solution to the task. The Bitcoin protocol sets a target block time of 10 minutes, and attempts to achieve this by introducing a variable named mining difficulty.
Mining difficulty refers to how difficult it is for the node to solve the computationally intensive task. If the network sets a high difficulty for the task, while miners have low computational power, which is often referred to as “hashrate”, it would statistically take longer for the nodes to get an answer for the task. If the difficulty is low, but miners have rather strong computational power, statistically, some nodes will be able to solve the task quickly.
Therefore, the 10 minute target block time is achieved by constantly and automatically adjusting the mining difficulty according to how much computational power there is amongst the nodes. The average block time of the network is evaluated after a certain number of blocks, and if it is greater than the expected block time, the difficulty level will decrease; if it is less than the expected block time, the difficulty level will increase.

What are orphan blocks?

In a PoW blockchain network, if the block time is too low, it would increase the likelihood of nodes producingorphan blocks, for which they would receive no reward. Orphan blocks are produced by nodes who solved the task but did not broadcast their results to the whole network the quickest due to network latency.
It takes time for a message to travel through a network, and it is entirely possible for 2 nodes to complete the task and start to broadcast their results to the network at roughly the same time, while one’s messages are received by all other nodes earlier as the node has low latency.
Imagine there is a network latency of 1 minute and a target block time of 2 minutes. A node could solve the task in around 1 minute but his message would take 1 minute to reach the rest of the nodes that are still working on the solution. While his message travels through the network, all the work done by all other nodes during that 1 minute, even if these nodes also complete the task, would go to waste. In this case, 50% of the computational power contributed to the network is wasted.
The percentage of wasted computational power would proportionally decrease if the mining difficulty were higher, as it would statistically take longer for miners to complete the task. In other words, if the mining difficulty, and therefore targeted block time is low, miners with powerful and often centralized mining facilities would get a higher chance of becoming the block producer, while the participation of weaker miners would become in vain. This introduces possible centralization and weakens the overall security of the network.
However, given a limited amount of transactions that can be stored in a block, making the block time too longwould decrease the number of transactions the network can process per second, negatively affecting network scalability.

3. Bitcoin’s additional features

Segregated Witness (SegWit)

Segregated Witness, often abbreviated as SegWit, is a protocol upgrade proposal that went live in August 2017.
SegWit separates witness signatures from transaction-related data. Witness signatures in legacy Bitcoin blocks often take more than 50% of the block size. By removing witness signatures from the transaction block, this protocol upgrade effectively increases the number of transactions that can be stored in a single block, enabling the network to handle more transactions per second. As a result, SegWit increases the scalability of Nakamoto consensus-based blockchain networks like Bitcoin and Litecoin.
SegWit also makes transactions cheaper. Since transaction fees are derived from how much data is being processed by the block producer, the more transactions that can be stored in a 1MB block, the cheaper individual transactions become.
The legacy Bitcoin block has a block size limit of 1 megabyte, and any change on the block size would require a network hard-fork. On August 1st 2017, the first hard-fork occurred, leading to the creation of Bitcoin Cash (“BCH”), which introduced an 8 megabyte block size limit.
Conversely, Segregated Witness was a soft-fork: it never changed the transaction block size limit of the network. Instead, it added an extended block with an upper limit of 3 megabytes, which contains solely witness signatures, to the 1 megabyte block that contains only transaction data. This new block type can be processed even by nodes that have not completed the SegWit protocol upgrade.
Furthermore, the separation of witness signatures from transaction data solves the malleability issue with the original Bitcoin protocol. Without Segregated Witness, these signatures could be altered before the block is validated by miners. Indeed, alterations can be done in such a way that if the system does a mathematical check, the signature would still be valid. However, since the values in the signature are changed, the two signatures would create vastly different hash values.
For instance, if a witness signature states “6,” it has a mathematical value of 6, and would create a hash value of 12345. However, if the witness signature were changed to “06”, it would maintain a mathematical value of 6 while creating a (faulty) hash value of 67890.
Since the mathematical values are the same, the altered signature remains a valid signature. This would create a bookkeeping issue, as transactions in Nakamoto consensus-based blockchain networks are documented with these hash values, or transaction IDs. Effectively, one can alter a transaction ID to a new one, and the new ID can still be valid.
This can create many issues, as illustrated in the below example:
  1. Alice sends Bob 1 BTC, and Bob sends Merchant Carol this 1 BTC for some goods.
  2. Bob sends Carols this 1 BTC, while the transaction from Alice to Bob is not yet validated. Carol sees this incoming transaction of 1 BTC to him, and immediately ships goods to B.
  3. At the moment, the transaction from Alice to Bob is still not confirmed by the network, and Bob can change the witness signature, therefore changing this transaction ID from 12345 to 67890.
  4. Now Carol will not receive his 1 BTC, as the network looks for transaction 12345 to ensure that Bob’s wallet balance is valid.
  5. As this particular transaction ID changed from 12345 to 67890, the transaction from Bob to Carol will fail, and Bob will get his goods while still holding his BTC.
With the Segregated Witness upgrade, such instances can not happen again. This is because the witness signatures are moved outside of the transaction block into an extended block, and altering the witness signature won’t affect the transaction ID.
Since the transaction malleability issue is fixed, Segregated Witness also enables the proper functioning of second-layer scalability solutions on the Bitcoin protocol, such as the Lightning Network.

Lightning Network

Lightning Network is a second-layer micropayment solution for scalability.
Specifically, Lightning Network aims to enable near-instant and low-cost payments between merchants and customers that wish to use bitcoins.
Lightning Network was conceptualized in a whitepaper by Joseph Poon and Thaddeus Dryja in 2015. Since then, it has been implemented by multiple companies. The most prominent of them include Blockstream, Lightning Labs, and ACINQ.
A list of curated resources relevant to Lightning Network can be found here.
In the Lightning Network, if a customer wishes to transact with a merchant, both of them need to open a payment channel, which operates off the Bitcoin blockchain (i.e., off-chain vs. on-chain). None of the transaction details from this payment channel are recorded on the blockchain, and only when the channel is closed will the end result of both party’s wallet balances be updated to the blockchain. The blockchain only serves as a settlement layer for Lightning transactions.
Since all transactions done via the payment channel are conducted independently of the Nakamoto consensus, both parties involved in transactions do not need to wait for network confirmation on transactions. Instead, transacting parties would pay transaction fees to Bitcoin miners only when they decide to close the channel.
One limitation to the Lightning Network is that it requires a person to be online to receive transactions attributing towards him. Another limitation in user experience could be that one needs to lock up some funds every time he wishes to open a payment channel, and is only able to use that fund within the channel.
However, this does not mean he needs to create new channels every time he wishes to transact with a different person on the Lightning Network. If Alice wants to send money to Carol, but they do not have a payment channel open, they can ask Bob, who has payment channels open to both Alice and Carol, to help make that transaction. Alice will be able to send funds to Bob, and Bob to Carol. Hence, the number of “payment hubs” (i.e., Bob in the previous example) correlates with both the convenience and the usability of the Lightning Network for real-world applications.

Schnorr Signature upgrade proposal

Elliptic Curve Digital Signature Algorithm (“ECDSA”) signatures are used to sign transactions on the Bitcoin blockchain.
However, many developers now advocate for replacing ECDSA with Schnorr Signature. Once Schnorr Signatures are implemented, multiple parties can collaborate in producing a signature that is valid for the sum of their public keys.
This would primarily be beneficial for network scalability. When multiple addresses were to conduct transactions to a single address, each transaction would require their own signature. With Schnorr Signature, all these signatures would be combined into one. As a result, the network would be able to store more transactions in a single block.
The reduced size in signatures implies a reduced cost on transaction fees. The group of senders can split the transaction fees for that one group signature, instead of paying for one personal signature individually.
Schnorr Signature also improves network privacy and token fungibility. A third-party observer will not be able to detect if a user is sending a multi-signature transaction, since the signature will be in the same format as a single-signature transaction.

4. Economics and supply distribution

The Bitcoin protocol utilizes the Nakamoto consensus, and nodes validate blocks via Proof-of-Work mining. The bitcoin token was not pre-mined, and has a maximum supply of 21 million. The initial reward for a block was 50 BTC per block. Block mining rewards halve every 210,000 blocks. Since the average time for block production on the blockchain is 10 minutes, it implies that the block reward halving events will approximately take place every 4 years.
As of May 12th 2020, the block mining rewards are 6.25 BTC per block. Transaction fees also represent a minor revenue stream for miners.
submitted by D-platform to u/D-platform [link] [comments]

Weekly Dev Update #17

THORChain Weekly Dev Update for Week 12–18 Nov 2019


Recent Changes

Some recent updates to the protocol:

Update to Emission

The first iteration of the block reward scheme was announced in the previous weekly update. An immediate concern raised from the community was that the emission was too aggressive in the initial year and rewards dropped off fast beyond the 5 year mark. Taking Bitcoin’s emission as an example, the emission curve has been updated to target 2% emission after 10 years.
The Block Reward equation is given by the following recurrence equation: g(n+2) = ((R - (g(n+1) + g(n))) / x) / y Which evaluates to: ![](https://miro.medium.com/max/1624/1*ttpsRd7HUs2-7hvDGO6elg.png) where: R = Reserve, x = 6 (Arbitrary Emission Factor) y = (seconds per day / seconds per block) / days per year y = (86400 / 5) * 365.2425 The final curve thus has a Day 0 emission of 25%, Year 1 emission of 20% and Year 10 emission of 2%.


The original plan for BEPSwap (prior to the Yggdrasil liquidity breakthrough) was to have it as a separate mainnet before launching the real THORChain in 2020 with cross-chain support. Now THORChain has in-built cross-chain support and a clear roadmap to 99 nodes. This means the mainnet launch will have public, community-run nodes at the start. The community has been fielding many questions about how to run a node, and the mechanics in doing so. Since the THORChain team will not be running any nodes, it is necessary to have a full-rehearsal with the community at launch. As such, the plan is for a public ChaosNet on 03 January 2020. ChaosNet will have the following key differences: * Minimum bond of 100k RUNE. * Maximum of 12 Nodes. * Churn cycle of 1 day. * Maximum stake amount of 600k RUNE total. * 2.7m RUNE Protocol Reserve to emit Bond and Stake rewards. * Hard-coded Ragnorök at 6 weeks.
Any member who wishes to join ChaosNet to get accustomed to running a node can do so, and will receive Block Rewards roughly equivalent to mainnet (25%). They will be setting up nodes, churning in, servicing the network and earning rewards. The system will hold up to 600k Rune, at which point it will refund any additional staked amount. The community can stake small amounts of real assets, prepare arbitrage bots, set up telegram alert bots and more. In short, it is a public rehearsal with the entire community across all facets (nodes, stakers, traders) so that everyone will have access to the same information and not unfairly benefit when the real mainnet launches. Additionally, the system will be hard-coded to perform a Ragnorök 6 weeks later, which will refund all the remaining reserve as well as bonded and staked assets. This will go a long way in re-assuring the community that the system can tolerate all levels of risk, including black-swan events, and that funds are safe at all times.

Internal Arbitrage

A new feature will be launched that will allow users to use internal arbitrage. This is an asymmetrical withdrawal to Rune, then immediately followed by a asymmetrical stake of Rune in another pool. A trader may want to do this instead of doing transactional arbitrage in order to exploit price differences between two pools the fastest way possible. Instead of an outgoing transaction being processed, followed by another incoming transaction, Rune balances and stakeUnits are swapped internally, being completed inside of a few seconds.

Fee-based Transaction Prioritisation

Currently there is no prioritisation to the order of transactions, all transactions are simply processed in order of time received. In moments of high demand of network resources (such as when there are large arbitrage opportunities and users are racing to exploit them), transactions will queue in the mempool. If the system cannot respond fast enough, then the reason for high demand will persist (the large arbitrage opportunity). The solution is to remove the reason for high demand in the first place, which is the large arbitrage opportunity, at the same time as collecting the maximum revenue for the system. As such, in the checkTx method (which can triage the mempool), transactions will be sorted and ordered in the value of the fee of the swap transaction. Assuming rational actors, the following transactions will then be prioritised over all others: * A transaction from an impatient swapper who is willing to pay a large fee. * A transaction from a trader who is able to arbitrage out a price discrepancy (and still make a gain).
This then means the system can collect as much income as possible (good for the stakers) at the same time as prioritising transactions that can arbitrage out large price discrepancies quickly. This then means swaps from transient swappers will experience a market price that accurately matches the reference price at all times.

BEPSwap Development

The team are working on 4 parallel streams of effort. Cross-chain infrastructure has now been merged into a single repo called “THORNode”. * THORChain * Midgard Public API * Threshold Signature Scheme implementation * Front-end Integration for BEPSwap


Bug fixes, refactoring, as well as more logic around Yggdrasil funding. Additionally, node churn and the first part of block rewards PR was merged. * Add admin config event, fix tx out events https://gitlab.com/thorchain/bepswap/thornode/merge_requests/255 * Resolve “Select a satellite pool to swap out” https://gitlab.com/thorchain/bepswap/thornode/merge_requests/253 * Include the thorcli volume for the signer. https://gitlab.com/thorchain/bepswap/thornode/merge_requests/261 * Rune Reserves, block rewards, bond units, oh my! https://gitlab.com/thorchain/bepswap/thornode/merge_requests/258 * Add mechanism to slash a node account bond or rewards https://gitlab.com/thorchain/bepswap/thornode/merge_requests/264 * Add add event https://gitlab.com/thorchain/bepswap/thornode/merge_requests/262 * Issue198 node churn https://gitlab.com/thorchain/bepswap/thornode/merge_requests/270 * Issue199 — fix signer doesn’t process multiple txout item https://gitlab.com/thorchain/bepswap/thornode/merge_requests/271 * issue194: only rune get refund for invalid memo https://gitlab.com/thorchain/bepswap/thornode/merge_requests/272 * Outbound — mark txout item out hash based on the coin as well https://gitlab.com/thorchain/bepswap/thornode/merge_requests/273

Midgard Public API

Database ported from influxdb to timescaledb (more maturity, better developer tooling). Endpoints built out include/pools and /stakers. * Feature/new endpoint format, refactors and general clean ups
The OpenApi Schema can be reviewed here:

Threshold Signature Scheme

TSS was successfully implemented into the Genesis ceremony, with the focus now being on the key-gen and key-sign ceremonies. Multi-cast DNS was switched out for a distributed hash table to facilitate node discovery. * Issue4 — docker images and ci https://gitlab.com/thorchain/tss/multi-party-ecdsa-dockemerge_requests/5 * Fix a docker bug https://gitlab.com/thorchain/tss/multi-party-ecdsa-dockemerge_requests/6
A proof-of-concept is being prepared using BinanceChain TSS library, which was recently launched in order to make a decision whether to switch libraries. A go-based implementation is better for THORNode, since it is also written in Go.

Frontend Implementation

Bug-fixes and tweaks from community feedback. The frontend is now ready for implementation with the latest Midgard API. * Resolve “Write cypress e2e test for pool stake list view” https://gitlab.com/thorchain/bepswap/bepswap-react-app/merge_requests/164 * Resolve “Update rune token icon” https://gitlab.com/thorchain/bepswap/bepswap-react-app/merge_requests/165 * Resolve “Update confirmation modal” https://gitlab.com/thorchain/bepswap/bepswap-react-app/merge_requests/166 * Resolve “Update wallet view” https://gitlab.com/thorchain/bepswap/bepswap-react-app/merge_requests/167 * Resolve “Add tooltip for wallet connection” https://gitlab.com/thorchain/bepswap/bepswap-react-app/merge_requests/168


The team are working for these milestones: * Feature Freeze: 20 November 2019 on-time * Audit: 20 December 2019 on-time * ChaosNet: 03 January 2020 on-time


To keep up to date, please monitor community channels, particularly Telegram and Twitter: Twitter: https://twitter.com/thorchain_org Telegram Community: https://t.me/thorchain_org Telegram Announcements: https://t.me/thorchain Reddit: https://reddit.com/thorchain Github: https://github.com/thorchain Medium: https://medium.com/thorchain
submitted by thorchain_org to THORChain [link] [comments]

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Bitcoin Cash (BCH), seinerseits selbst eine Fork von Bitcoin, vollzieht am 15. Mai eine erneute Hard Fork. Im Zentrum des Updates steht die Einführung von Schnorr-Signaturen, einem alternativen Verschlüsselungsverfahren für Transaktionen. Hier kommt bei Bitcoin Cash – wie auch beim großen Bruder Bitcoin – bislang noch die Elliptische-Kurven-Kryptographie zum Einsatz (ECDSA –Elliptic ... Signature Verification: This algorithm works the same way as in the single key ... most major blockchains, including Bitcoin and Ethereum, only support ECDSA. But there are solutions for this, too! Some Major Challenges . A – Distributed Key: There must never be more than one secret share in plain format at a single location in any phase of the protocol: Distributed Key Generation: The ... Elliptic Curve Digital Signature Algorithm Last updated December 30, 2019. In cryptography, the Elliptic Curve Digital Signature Algorithm (ECDSA) offers a variant of the Digital Signature Algorithm (DSA) which uses elliptic curve cryptography.. Contents. Key and signature-size; Signature generation algorithm; Signature verification algorithm What Is a Bitcoin Address in P2SH Format? P2SH addresses (Pay to script hash) appeared in the proposal to improve bitcoin BIP-0016 in January 2012 thanks to the chief researcher of the Bitcoin Foundation Gavin Andresen. They have the same structure as legacy addresses but begin with the number 3. Such addresses assume that the recipient must have a script that matches the hash script when ... Bitcoin developer, cryptographer, and head of research at Blockstream Andrew Poelstra has suggested that an official proposal to upgrade Bitcoin with Schnorr signatures could come “in the next couple of weeks,” and be submitted to the Bitcoin developer mailing list. Poelstra added that the possibility exists for Schnorr signatures to be implemented on Bitcoin during 2020. ECDSA is one type of such a signature scheme, based on elliptic curves. ECDSA is used in Bitcoin, Ethereum and across the industry. To generate a signature one needs at least t+1 participants out of the total of n participants running the code. For example, in the 2 party case, we have t=1 and we need both parties in order to sign. This is opposed to regular ECDSA where only a single signer is ... Digital Signatures (ECDSA). The algorithm for digital signatures used in Bitcoin is Elliptic Curve Digital Signature Algorithm, or ECDSA, based on the mathematics of elliptical curves for coupling private and public keys, which uses the script functions OP_CHECKSIG, OP_CHECKSIGVERIFY, OP_CHECKMULTISIG, and OP_CHECKMULTISIGVERIFY. Binance Coin $ 31.06 8.54%. Bitcoin Cash $ 242.92 1.62%. Chainlink $ 11.42 8.32%. Polkadot $ 4.41 3.52%. Litecoin $ 51.82 3.98%. Cardano $ 0.107475 0.36%. Alle Kurse. Mit Schnorr-Signaturen gegen Bitcoins Skalierungsproblem . Startseite; Aktuelle Artikel im Überblick; Krypto; Bitcoin; Mit Schnorr-Signaturen gegen Bitcoins Skalierungsproblem . von Dr. Philipp Giese. Am 27. Januar 2018 30. Juni ...

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