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. BLS Key Generation Signature Scheme Security
  2. BLS Key Generation

Expand

HKDF-Expand(PRK, info, L) -> OKM

Options:

  • Hash- a hash function; HashLen denotes the length of the hash function output in octets

Inputs:

  • PRK a pseudorandom key of at least HashLen octets (usually, the output from the extract step)

  • info optional context and application specific information (can be a zero-length string)

  • L length of output keying material in octets (<= 255*HashLen)

Output:

  • OKM output keying material (of L octets)

The output OKM is calculated as follows:

N = ceil(L/HashLen) T = T(1) | T(2) | T(3) | ... | T(N) OKM = first L octets of T

where:

T(0) = empty string (zero length) T(1) = HMAC-Hash(PRK, T(0) | info | 0x01) T(2) = HMAC-Hash(PRK, T(1) | info | 0x02) T(3) = HMAC-Hash(PRK, T(2) | info | 0x03) .......

(where the constant concatenated to the end of each T(n) is a single octet.)

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Last updated 1 year ago

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