Construction of systems of polynomial equations with exact p-Divisibility via the covering method

DOI10.1142/S0219498814500133zbMath1373.11078MaRDI QIDQ5420682

Francis N. Castro, Ivelisse M. Rubio

Publication date: 13 June 2014

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

solutionsexponential sumsfinite fieldscovering methodpolynomial equations\(p\)-divisibility

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Divisibility and factorizations in commutative rings (13A05)

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Cites Work

• Divisibility of exponential sums via elementary methods
• SOLVABILITY OF CERTAIN EQUATIONS IN A FINITE FIELD
• Divisibility properties for covering radius of certain cyclic codes
• DIVISIBILITY OF EXPONENTIAL SUMS AND SOLVABILITY OF CERTAIN EQUATIONS OVER FINITE FIELDS
• On the weight distributions of optimal cosets of the first-order Reed-Muller codes
• Improvements of the Chevalley-Warning and the Ax-Katz Theorems
• On a Theorem of Ax
• Zeroes of Polynomials Over Finite Fields