Linear codes in generalized construction of resilient functions with very high nonlinearity
We provide a new generalized construction method for highly nonlinear t-resilient functions,
F: F/sub 2//sup n//spl rarr/F/sub 2//sup m/. The construction is based on the use of linear error-
correcting codes together with highly nonlinear multiple output functions. Given a linear [u,
m, t+ 1] code we show that it is possible to construct n-variable, m-output, t-resilient functions
with very high nonlinearity for n> u. The method provides the currently best known
nonlinearity results for most of the cases.
F: F/sub 2//sup n//spl rarr/F/sub 2//sup m/. The construction is based on the use of linear error-
correcting codes together with highly nonlinear multiple output functions. Given a linear [u,
m, t+ 1] code we show that it is possible to construct n-variable, m-output, t-resilient functions
with very high nonlinearity for n> u. The method provides the currently best known
nonlinearity results for most of the cases.
We provide a new generalized construction method for highly nonlinear t-resilient functions, F:F/sub 2//sup n//spl rarr/ F/sub 2//sup m/. The construction is based on the use of linear error-correcting codes together with highly nonlinear multiple output functions. Given a linear [u, m, t+1] code we show that it is possible to construct n-variable, m-output, t-resilient functions with very high nonlinearity for n>u. The method provides the currently best known nonlinearity results for most of the cases.
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