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Hash-Based Signatures

Hash-Based Signatures. Johannes Buchmann, Andreas Hülsung Supported by DFG and DAAD. Part XI: XMSS in Practice. Hash functions & Blockciphers. AES Blowfish 3DES Twofish Threefish Serpent IDEA RC5 RC6 …. SHA-2 SHA-3 BLAKE Grøstl JH Keccak Skein VSH MCH MSCQ SWIFFTX RFSB

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Hash-Based Signatures

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  1. Hash-Based Signatures Johannes Buchmann, Andreas Hülsung Supported by DFG and DAAD Part XI: XMSS in Practice

  2. Hash functions & Blockciphers AES Blowfish 3DES Twofish Threefish Serpent IDEA RC5 RC6 … SHA-2 SHA-3 BLAKE Grøstl JH Keccak Skein VSH MCH MSCQ SWIFFTX RFSB …

  3. PRF and HashFunction from AES • AES: • PRF: • Plain AES • Hash function • AES with Matyas-Meyer-Oseas in Merkle-Damgård mode

  4. PRF and HashFunction from SHA2 • SHA2: • PRF • Simplified SHA2-HMAC:FK(M) = SHA2( Pad(K) || M ) • Pad(x) prepends 0‘s to reach blocksize (512bit) • No MD-Strengthening needed • Hash function • Plain SHA2

  5. XMSS Implementations • C Implementation C Implementation, usingOpenSSL [BDH2011] Intel(R) Core(TM) i5-2520M CPU @ 2.50GHz with Intel AES-NI

  6. Reminder: Tree Chaining 2h+1 → 2*2 h/2+1 = 2 h/2+2 j i But: Larger signatures!

  7. XMSS Implementations • Smartcard Implementation Infineon SLE78 16Bit-CPU@33MHz, 8KB RAM, TRNG, sym. & asym. co-processor NVM: Card 16.5 million write cycles/ sector, XMSS+ < 5 million write cycles (h=20) [HBB12]

  8. Thank you! Questions?

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