Mathematical Analysis for a Dynamic Cipher

한국수학교육학회지시리즈B:순수및응용수학 / 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 (Department of Mathematics, Chosun University)
CHOI EUN-HEE (Department of Mathematics, Chosun University)
RIM KWANG-CHEOL (Department of Mathematics, Chosun University)

JUNG YOON-TAE, CHOI EUN-HEE, & RIM KWANG-CHEOL. (2005). MATHEMATICAL ANALYSIS FOR A DYNAMIC CIPHER. 한국수학교육학회지시리즈B:순수및응용수학, 12(2), 143-152.

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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

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Vol.12 No.2

MATHEMATICAL ANALYSIS FOR A DYNAMIC CIPHER

Mathematical Analysis for a Dynamic Cipher

Abstract

한국수학교육학회지시리즈B:순수및응용수학