The number of solutions of the equation \(\operatorname{Tr}_{\mathbb F_t/\mathbb F_s}(f(x)+v.x)=b\) and some applications

DOI10.1016/J.JPAA.2004.02.007zbMath1051.11063OpenAlexW1973183440MaRDI QIDQ1877765

Dany-Jack Mercier

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.02.007

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Quadratic forms over general fields (11E04) Other types of codes (94B60)

Related Items (1)

Hermitian rank distance codes

Cites Work

• Unnamed Item
• Weight distribution of the Hermitian forms codes
• Equations et variétés algébriques sur un corps fini
• Two codes related to Hermitian forms
• The number of solutions of some special equations in a finite field
• Representations by hermitian forms in a finite field
• Exponential sums, codes, and Hermitian forms
• Hermitian Varieties in a Finite Projective Space PG(N, q²)
• Generalized k‐linear equations over a finite field
• On the generalized weights of a class of trace codes

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