Keywords: 05A05; 11T06; 11T55; Permutation polynomial; Finite field; Permutation trinomial;
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Keywords: 11T06; 11T55; 11C08; Permutation polynomial; Reversed Dickson polynomial of (k+1)-th kind; Moment; Lucas' congruence; Hermite criterion;
Keywords: primary; 11J85; secondary; 11T55; Algebraic independence; Mahler functions; Positive characteristic;
Keywords: 11L40; 11T55; Character sums; Finite fields; L-functions; Function fields;
Keywords: 11T06; 11T55; 11D79; Degree matrix; Rational point; Gauss sum;
Keywords: 05A05; 11T06; 11T55; Finite field; Permutation polynomial; Trace function;
Keywords: primary; 11B39; 11T55; Fibonacci polynomials; Lucas polynomials; Polynomial rings over finite fields;
Keywords: 11T06; 11T55; 05A05; Permutation polynomial; Trinomial; Trace function;
Keywords: 11T55; 20B99; 20E99; Permutation polynomial; Linear translator; Permutation group;
Keywords: primary; 11T55; secondary; 11T06; Perfect polynomial; One-ring; Sum-of-divisors;
Keywords: 11T55; 11T24; 11L05; Polynomial Gauss sums; Finite fields; Davenport-Hasse's theorem;
Keywords: 11T71; 11T55; 12E20; Cyclic codes; Weight distribution; Exponential sums; Griesmer lower bound;
Keywords: primary; 11J70; 11T55; secondary; 11B85; Finite fields; Power series over a finite field; Continued fractions; Finite automata; Automatic sequences;
Keywords: 12Y05; 11T71; 11T55; 12E05; 68Q25Parity check; Correlation attack; Stream cipher; Discrete logarithm
Keywords: 11T71; 11T55; 12E20Cyclic codes; Weight distribution; Gaussian sums; Griesmer lower bound
Keywords: 11T06; 11T55; 11C08Permutation polynomial; Reversed Dickson polynomial of the second kind; Finite field; Generating function
Keywords: 11T55; 11N37Sums of two squares; Polynomials over finite fields
Keywords: 11T06; 11T55; Binomial; Finite field; Hermite criterion; Permutation polynomial;
Keywords: 11T71; 11T55; 12E20Cyclic codes; Irreducible cyclic codes; Weight distribution
Keywords: 11R58; 11G09; 11R60; 11T55; 14G10; 14H40; Zeta; Multizeta; Bernoulli; Jacobians; Zero distribution;
Keywords: 11T06; 11T55; 11H06; 11D79; Degree matrix; Value set; Newton polytope; p-adic lifting;
Keywords: primary; 11T55; secondary; 11R18; Finite field; Hamming distance; Cyclotomic field;
Keywords: 11G20; 11T55; Rational points; Algebraic curves; Uniform distribution; Congruences;
Keywords: 16S36; 11T55; 12Y05; 11T71Skew polynomial rings; Finite fields; Period of polynomials
Keywords: 11T06; 11T55; 11H06Value set; Polynomial image set; Multivariate polynomials; Newton polytopes; p-adic liftings
Keywords: 13P10; 13P15; 11T55; 68W30Gröbner basis; The GVW algorithm; Signature-based algorithm; Linear algebra; Boolean polynomial ring
Keywords: 12E20; 11T55; Finite fields; Invariant theory; Group action; Multivariate polynomials;
On Kassel-Reutenauer q-analog of the sum of divisors and the ring F3[X]/X2F3[X]
Keywords: primary; 11T55; secondary; 11A25; Finite field; Eta-product; Sum of divisors; Congruence;
The action of GL2(Fq) on irreducible polynomials over Fq, revisited
Keywords: 12E20; 11T55;
Further results on permutation polynomials of the form (xpmâx+δ)s+x over Fp2m
Keywords: 11T06; 11T55; Finite field; Permutation polynomial; Trace function;
Two classes of permutation trinomials with Niho exponents
Keywords: 05A05; 11T06; 11T55; Permutation polynomial; Finite field; Permutation trinomial;
New permutation quadrinomials over F22m
Keywords: 05A05; 11T06; 11T55; Permutation polynomial; Finite field; Permutation quadrinomial;
General constructions of permutation polynomials of the form (x2m+x+δ)i(2mâ1)+1+x over F22m
Keywords: 05A05; 11T06; 11T55; Finite field; Permutation polynomial; Niho exponent;
Applications of the Hasse-Weil bound to permutation polynomials
Keywords: 11T06; 11T55; 14H05; Absolute irreducibility; Finite field; Hasse-Weil bound; Permutation polynomial;
Polynomial factorization over finite fields by computing Euler-Poincaré characteristics of Drinfeld modules
Keywords: primary; 11T55; 11Y16; secondary; 11G20; Finite fields; Polyomial factorization; Drinfeld modules;
Permutation polynomials (xpmâx+δ)s1+(xpmâx+δ)s2+x over Fpn
Keywords: 05A05; 11T06; 11T55; Finite field; Permutation polynomial; Trace function; AGW criterion;
Quartic polynomials having Galois closure of genus zero and their value sets
Keywords: 11R58; 11T55; Quartic polynomial; Value set; Galois closure; Rational function field;
On two conjectures about permutation trinomials over F32k
Keywords: 05A05; 11T06; 11T55; Finite field; Niho exponent; Permutation trinomial;
An explicit polynomial analogue of Romanoff's theorem
Keywords: 11T06; 11T55; Polynomial ring; Romanoff's theorem; Irreducible polynomial; Multiplicative order;
Subsets of Fq[x] free of 3-term geometric progressions
Keywords: primary; 05D10; 11B05; secondary; 11Y60; 11R58; 11T55; Ramsey theory; Function fields; Geometric progressions; Upper density;
Permutation polynomials over F2n of the form (x2i+x+δ)s1+(x2i+x+δ)s2+x
Keywords: 05A05; 11T06; 11T55; Finite field; Trace function; Permutation polynomial;
Matroidal structure of skew polynomial rings with application to network coding
Keywords: 11T71; 11T06; 11T55; 12E20; Skew polynomial rings; Linearized polynomials; Matroidal network coding;
Further results on permutation polynomials of the form (xpmâx+δ)s+L(x) over Fp2m
Keywords: 05A05; 11T06; 11T55; Finite field; Permutation polynomial; Cubic equation; Quadratic equation;
On the existence of homogeneous semi-regular sequences in F2[X1,...,Xn]/(X12,...,Xn2)
Keywords: primary; 11T55; secondary; 12E05; 12E20; 12Y05; 13A02; 13D02; 13P15; 94A60; Semi-regularity; Finite field;
From r-linearized polynomial equations to rm-linearized polynomial equations
Keywords: 11T06; 11T55; 15A15Determinant; Finite field; Linearized polynomial; Permutation polynomial
Fermat versus Wilson congruences, arithmetic derivatives and zeta values
Keywords: 11T55; 11R58; 11G09; Euler's gamma constant; Carlitz module; Fermat quotient; Wieferich prime; Wilson prime; Zeta element;
Möbius function in short intervals for function fields
Keywords: 11T55; 11T23; 11N37; Polynomial ring; Möbius function; Conjecture of Good and Churchhouse;
Distribution of zeta zeroes for abelian covers of algebraic curves over a finite field
Keywords: 11G20; 11T55; 11M38; Zeta functions of curves; Class field theory; Gaussian distribution;
Permutation polynomials over finite fields - A survey of recent advances
Keywords: 11-02; 11T06; 11T55; Finite field; Permutation polynomial;
Galois closures of quartic subfields of rational function fields
Keywords: 11R32; 12F10; 11T55; Galois group; Quartic polynomial; Rational function field;