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. Solareum Proof of Generation

The BLS12-381 Elliptic Curve for zk-SNARK Proofs

In the ever-evolving landscape of digital security, staying one step ahead of potential threats is paramount. Our BLS Key Generation Signature Scheme Security is a cuttingedge solution that promises to revolutionize the way Solareum secures its cryptographic assets. With its robust key generation process, this scheme ensures the highest levels of security for your data and communications.

The BLS Key Generation Signature Scheme Security is designed to address the unique challenges faced by todayโ€™s blockchain community. It employs advanced mathematical principles to generate keys that are virtually impervious to attacks, providing a rock-solid foundation for securing your digital assets. Whether weโ€™re safeguarding sensitive financial transactions, confidential communications, or critical infrastructure, this innovative scheme offers peace of mind like never before and will serve SolareumChain very well on its mission.

Solareum strives to stay ahead of the technical curve and protect what matters most with an innovative solution for some of todayโ€™s most technical challenges.

SolareumChain outsources computation to private hardware which will provide a zkSNARK (Zero-Knowledge Succint Non-Interactive Argument of Knowledge) proof of the energy generation required for validation. The elliptic curve BLS12-381 with 128-bit security level will be used with the first curve G1

y2=x3+4โ€…modโ€…py^2=x^3+4 \:mod\: py2=x3+4modp

as well as the second curve G2 required as defined through bilinear mapping with respect to a pairing e(P, Q) with P โˆˆ G1 and Q โˆˆ G2.

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Last updated 1 year ago

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