Further results on permutation polynomials and complete permutation polynomials over finite fields
Copyright policy )Further results on permutation polynomials and complete permutation polynomials over finite fields
<abstract><p>In this paper, by employing the AGW criterion and determining the number of solutions to some equations over finite fields, we further investigate nine classes of permutation polynomials over $ \mathbb{F}_{p^n} $ with the form $ (x^{p^m}-x+\delta)^{s_1}+(x^{p^m}-x+\delta)^{s_2}+x $ and propose five classes of complete permutation polynomials over $ \mathbb{F}_{p^{2m}} $ with the form $ ax^{p^m}+bx+h(x^{p^m}-x) $.</p></abstract>
- KU Leuven Belgium
- Fuzhou University China (People's Republic of)
Permutations, words, matrices, Science & Technology, FORM (X(PM), Mathematics, Applied, Algebraic coding theory; cryptography (number-theoretic aspects), permutation polynomial, Polynomials over finite fields, agw criterion, Physical Sciences, QA1-939, complete permutation polynomial, 4901 Applied mathematics, AGW criterion, Arithmetic theory of polynomial rings over finite fields, Cyclic codes, finite field, Mathematics
Permutations, words, matrices, Science & Technology, FORM (X(PM), Mathematics, Applied, Algebraic coding theory; cryptography (number-theoretic aspects), permutation polynomial, Polynomials over finite fields, agw criterion, Physical Sciences, QA1-939, complete permutation polynomial, 4901 Applied mathematics, AGW criterion, Arithmetic theory of polynomial rings over finite fields, Cyclic codes, finite field, Mathematics
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