Sponge function

MySprtlty·2022년 12월 4일
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Applied Cryptography

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🏷️Sponge function

  • sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.
  • 🖇️cf. SHA-3는 keccak-f 순열을 기반으로 한다.

📌Operation

  • A sponge function is built from three components
  • S: state memory containing b bits,
    • S is divided into two sections:
      • R: the bitrate, one of size r
      • C: the capacity, the remaining part of size c
  • f: permutation function (가역적)
  • P: a padding function
  • P appends enough bits to the input string so that the length of the padded input is a whole multiple of the bitrate, r.
  • This means the input is segmented into blocks of r bits.
  • Since C is confidential, do not perform XOR operations on C.

absorbing

  • S(= R + C) is initialized to zero
  • for each r-bit block B of P(string)
  • R is replaced with R XOR B
  • S is replaced by f(S)

squeezing

  • The sponge function output is now ready to be produced "squeezed out".
  • repeat
    • output the R portion of S
    • S is replaced by f(S) unless output is full
  • If less than r bits remain to be output, then R will be truncated (only part of R will be output).
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