SOLAREUM
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  • ๐Ÿ‘‹Solareum - Layer 1 Whitepaper
  • Solareum (SRM)
    • ๐Ÿ“ƒExecutive Summary
    • ๐Ÿ”ฅSolareumโ€™s Solution
    • โญSolareumโ€™s Value Proposition
    • ๐Ÿ’ซFinal Thoughts
  • About Solareum
    • ๐Ÿ‘ฉโ€๐ŸซWhat is SolareumChain?
    • โž—Mathematical Analysis of Validators
  • Solareum Proof of Generation
    • ๐ŸงŠSolareum Proof of Generation
    • ๐Ÿ›ก๏ธThe BLS12-381 Elliptic Curve for zk-SNARK Proofs
      • FPGA Hardware
  • BLS Key Generation Signature Scheme Security
    • โ™ป๏ธBLS Key Generation
      • Extract
      • Expand
      • IKM to lamport SK
      • parent SK to lamport PK
      • HKDF mod r
      • derive child SK
      • derive master SK
    • ๐Ÿ’ฑPost-quantum security backup upgrade
  • SolareumChain Algorithmic Security
    • ๐Ÿ”SolareumChain Algorithmic Security
    • ๐Ÿ”ฎBLS signature aggregation and Multisig security
      • BLS Signature Aggregation
      • Multisig Security
      • BLS signature aggregation definitions
    • ๐ŸซProving security definition references
      • Gedankenexperiment Setup
      • Gedankenexperiment Signature queries
      • Gedankenexperiment Forgery
      • Security and co-CDH Assumption
    • โœณ๏ธAdversaries and message query theorems
    • ๐Ÿ’ Multi-Input Transactions and Transaction Validation Caching
      • SolareumChain Multi-Input Transactions
      • SolareumChain Transaction Validation Caching
  • SolareumChain ReFi Implementation
    • ๐Ÿ’ฅProof of Hold (PoH)
    • ๐Ÿง‡SolareumChain Inherited NFT Multipliers
  • SolareumChain Architecture and PoG Math
    • โ›“๏ธSolareumChain Architecture and PoG Math
    • ๐Ÿ’ฃSocietal Impact of Blockchain Technology
    • ๐Ÿ’กEnergy Generation Analysis and Correlation
    • ๐Ÿ”‹Energy Correlation Assurance Functions
    • ๐Ÿงฉzk-SNARK Validation
      • Case Study I: Proof of Hold and no Proof of Generation
      • Case Study II: No Proof of Hold and Proof of Generation
      • Case Study III: Proof of Hold and Proof of Generation
    • ๐ŸŽดSolareumChain Address Generation
    • ๐ŸŽฑSolareumChain Genesis Architecture
    • ๐ŸฑDistributed Ledger Technology Energy Sustainability
    • ๐ŸŒ‰SolareumChain Bridge
    • โšกSufficiency of Sub 128-bit Security for Pairing-Friendly Curves on SolareumChain
  • Other iNfo
    • ๐Ÿ“Conclusion
  • Community
    • ๐ŸŒWebsite
    • ๐ŸŒ Telegram
    • โœ–๏ธTwitter
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  1. SolareumChain Algorithmic Security
  2. Multi-Input Transactions and Transaction Validation Caching

SolareumChain Multi-Input Transactions

For SolareumChain transactions that have multiple inputs, one currently includes all the signatures in the transaction. One can set things up so that all signatures are computed over the same message, namely the transaction data. When using BLS multi-signatures, anyone can aggregate all these signatures into a single multi-signature. If the user does not aggregate, the miner who mines the transaction can do it for them.

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Last updated 1 year ago

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