Subfield permutation polynomials and orthogonal subfield systems in finite fields
نویسندگان
چکیده
منابع مشابه
Complementary Dual Subfield Linear Codes Over Finite Fields
Two families of complementary codes over finite fields q are studied, where 2 = q r is square: i) Hermitian complementary dual linear codes, and ii) trace Hermitian complementary dual subfield linear codes. Necessary and sufficient conditions for a linear code (resp., a subfield linear code) to be Hermitian complementary dual (resp., trace Hermitian complementary dual) are determined. Construct...
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Let Fq be a finite field of q = pm elements with characteristic p. A polynomial P(x) ∈ Fq[x] is called a permutation polynomial of Fq if P(x) induces a bijective map from Fq to itself. In general, finding classes of permutation polynomials of Fq is a difficult problem (see [3, Chapter 7] for a survey of some known classes). An important class of permutation polynomials consists of permutation p...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1990
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-54-4-307-315