Exponential sums, codes, and Hermitian forms

DOI10.1109/18.476235zbMath0856.11057OpenAlexW2041579632MaRDI QIDQ4880285

Jean Pierre Cherdieu

Publication date: 4 June 1996

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/18.476235

zbMATH Keywords

trace codesdisparitygeneralized Reed-Muller codesHermitian-forms codesestimates of the modulus of exponential sumsquadratic Hermitian form

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Exponential sums (11T23)

Related Items (3)

The number of solutions of the equation \(\operatorname{Tr}_{\mathbb F_t/\mathbb F_s}(f(x)+v.x)=b\) and some applications ⋮ On the generalized weights of a class of trace codes ⋮ Two codes related to Hermitian forms

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