Results 81 to 90 of about 127,631 (176)

Hypergeometric polynomials over finite fields

Tohoku Mathematical Journal, 1999
Let \(p\geq 5\) be a prime. For elements \(a,b,c\) of the finite field \(\mathbb{F}_p\) the hypergeometric polynomial \(F(a,b,c;x)\) is defined by \[ F(a,b,c;x)=\sum_{n=0} \frac{(a)_n(b)_n}{(1)_n(c)_n}x^n, \] where \((a)_n=a(a+1)\cdots (a+n-1)\) and the sum stops as soon as the numerator vanishes under the assumption that the denominator does not ...
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Factorization of polynomials over finite fields [PDF]

Pacific Journal of Mathematics, 1962
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Applications of representation theory and of explicit units to Leopoldt's conjecture. [PDF]

Res Number Theory
Ferri F, Johnston H.
europepmc   +1 more source

On Gray Images of Cyclic and Self-Orthogonal Codes over Fq+uFq+vFq. [PDF]

Entropy (Basel)
Saif SH, Alhomaidhi AA.
europepmc   +1 more source

On the Optimal File Size of Capacity-Achieving Byzantine-Resistant Private Information Retrieval Schemes. [PDF]

Entropy (Basel)
Kruglik S, Kiah HM, Dau SH, Wang H.
europepmc   +1 more source

Efficient Algorithms for Permutation Arrays from Permutation Polynomials. [PDF]

Entropy (Basel)
Bereg S, Malouf B, Morales L, Sudborough IH.   +3 more
europepmc   +1 more source

On Double Cyclic Codes over Finite Chain Rings for DNA Computing. [PDF]

Entropy (Basel)
Ali S, Alali AS, Azeem M, Khan AA, Wong KB.   +4 more
europepmc   +1 more source

Computational Strategy for Analyzing Effective Properties of Random Composites-Part II: Elasticity. [PDF]

Materials (Basel)
Czapla R, Drygaś P, Gluzman S, Ligocki T, Mityushev V.   +4 more
europepmc   +1 more source

A symbolic dataset for large language models to solve second kind Fredholm integral equations. [PDF]

Sci Data
Dana Mazraeh H, Eslami S, Afzal Aghaei A, Parand K.   +3 more
europepmc   +1 more source

Linearized polynomials over finite fields

, 2012
We first study the ring of q-polynomials over the finite field with q elements by constructing an isomorphism between this ring and the polynomial ring over that field and by presenting several important facts about the polynomials in this ring. We also give characterizations for permutation polynomials of the finite field with p^n elements derived ...
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