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Linear structures of symmetric functions over finite fields
Authors:Yuan Li  T.W. Cusick
Affiliation:a Department of Mathematical Science, Alcorn State University, Alcorn State, MS 39096, USA
b SUNY Department of Mathematics, 244 Mathematics Building, Buffalo, NY 14260, USA
Abstract:It is shown that nonlinear symmetric functions over finite fields GF(p) have no linear structures other than equal component vectors.
Keywords:Walsh transform   Cryptography   Linear structure   Finite field   Boolean function   Symmetric polynomial
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