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Extra resources for Advanced Computing and Systems for Security: Volume 1
After dynamic permutation. 0 1 --- n–1 n 0 1 --- n–1 n Fig. 1 Dynamic permutation of randomly generated key-bytes The dynamic permutation of the randomly generated key-bytes can be explained by a graphical presentation as shown in Fig. 1. Let n be the number of generated key-bytes, then ﬁrst key-byte goes to the nth position, second goes to the (n − 1)th position, so on and so forth. It is intended to compare the randomness of cipher bytes produced by DC15 with that produced by RC4 from statistical randomness perspective.
Addison-Wesley Publishing Company (1983) 13. : Lehmer-based algorithm for computing inverses in Galois ﬁelds GF(2m). Electron. Lett. IET J. Mag. 42(5), 270–271 (2006) 14. : New systolic architectures for inversion and division in GF(2 m). IEEE Trans. Comput. 52(11), 1514–1519 (2003) 15. : Double-basis multiplicative inversion over GF(2 m). IEEE Trans. Comput. 47(9), 960–970 (1998) 16. : Systolic array implementation of euclid’s algorithm for inversion and division in GF(2m). IEEE Trans. Comput.
In the present paper, the identity S-Box of RC4 is replaced by a nonidentity S-Box obtained from multiplicative polynomial inverses over Galois Fields GF(73). The few initial K-Box elements are also obtained from some elements of multiplicative inverses and the rest are the repetition of given keys. In Sect. 2, an overview of algebraic method to calculate multiplicative inverse over GF(73) is given. The RC4 algorithm in brief is presented in Sect. 3. Purpose of the NIST Statistical Randomness Test Suite is briefly described in Sect.