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Mathematical Analysis for a Dynamic Cipher

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2005, v.12 no.2, pp.143-152
JUNG YOON-TAE
CHOI EUN-HEE
RIM KWANG-CHEOL
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Abstract

We present a new block cipher called DyC. It consists of four sets (procedures) having the different <TEX>$2^2,\;2^2,\;2^4$</TEX>, and <TEX>$2^8$</TEX> one-to-one correspondence functions as the elements. The round key is used to determine exactly one composite function from the possible <TEX>$2^{16}$</TEX> composite functions. DyC supports 8 <TEX>$\times$</TEX> n bit key size, 16 <TEX>$\times$</TEX> m bit block length, and n rounds. We have confirmed that DyC offers security against other well-known advanced cryptanalytic attacks including the slide attacks and interpolation attacks. In this paper, we show several properties of the key schedule of DyC by mathematical analysis.

keywords
block cipher, dynamic cipher, key dependent, linear cryptanalysis

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics