Welcome to the resource topic for 2003/124
Title:
A General Correlation Theorem
Authors: Kishan Chand Gupta, Palash Sarkar
Abstract:In 2001, Nyberg proved three important correlation theorems and applied
them to several cryptanalytic contexts. We continue the work of Nyberg in a more theoretical direction. We consider a general functional form and obtain its Walsh transform. Two of Nyberg’s correlation theorems are seen to be special cases of our general functional form. S-box look-up, addition modulo 2^{2k} and X-OR are three frequently occuring operations in the design of symmetric ciphers. We consider two methods of combining these operations and in each apply our main result to obtain the Walsh transform.
ePrint: https://eprint.iacr.org/2003/124
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