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• W2037339745 abstract "We introduce a new approach for the study of weight distributions of cosets of the Reed-Muller code of order 1. Our approach is based on the method introduced by Kasami (1968), using Pless (1963) identities. By interpreting some equations, we obtain a necessary condition for a coset to have a high minimum weight. Most notably, we are able to distinguish such cosets which have three weights only. We then apply our results to the problem of the nonlinearity of Boolean functions. We particularly study the links between this criterion and the propagation characteristics of a function." @default.
• W2037339745 created "2016-06-24" @default.
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• W2037339745 date "2001-05-01" @default.
• W2037339745 modified "2023-10-14" @default.
• W2037339745 title "On cryptographic properties of the cosets of R(1, m)" @default.
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• W2037339745 doi "https://doi.org/10.1109/18.923730" @default.
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