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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

MATHEMATICAL ANALYSIS FOR A DYNAMIC CIPHER

Mathematical Analysis for a Dynamic Cipher

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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)

Abstract

We present a new block cipher called DyC. It consists of four sets (procedures) having the different $2^2,\;2^2,\;2^4$, and $2^8$ one-to-one correspondence functions as the elements. The round key is used to determine exactly one composite function from the possible $2^{16}$ composite functions. DyC supports 8 $\times$ n bit key size, 16 $\times$ 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

한국수학교육학회지시리즈B:순수및응용수학