Symmetric functions over finite fields
نویسنده
چکیده
The number of linear independent algebraic relations among elementary symmetric polynomial functions over finite fields is computed. An algorithm able to find all such relations is described. The algorithm consists essentially of Gauss’ upper triangular form algorithm. It is proved that the basis of the ideal of algebraic relations found by the algorithm consists of polynomials having coefficients in the prime field Fp. A.M.S.-Classification: 14-04, 15A03.
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