Divisibility properties and new bounds for cyclic codes and exponential sums in one and several variables

DOI10.1007/BF01438279zbMath0809.11080OpenAlexW1973236070MaRDI QIDQ1320443

Carlos Julio Moreno, Simon N. Litsyn, Oscar Moreno

Publication date: 24 April 1994

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01438279

zbMATH Keywords

divisibilitycyclic codesminimum distancebounds for exponential sumsduals of BCH codes

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65) Exponential sums (11T23) Cyclic codes (94B15)

Related Items (2)

A \(p\)-adic Serre bound ⋮ Weight of duals of BCH codes and exponential sums

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Divisible codes
• Artin-Schreier curves, exponential sums, and the Carlitz-Uchiyama bound for geometric codes
• An improved Bombieri-Weil bound and applications to coding theory
• A \(p\)-adic Serre bound
• Equations et variétés algébriques sur un corps fini
• La conjecture de Weil. I
• Exponential Sums and Goppa Codes: I
• Prime-phase sequences with periodic correlation properties better than binary sequences
• A bound for divisible codes
• Minimum distance bounds for cyclic codes and Deligne's theorem
• Improvements of the Chevalley-Warning and the Ax-Katz Theorems
• The MacWilliams-Sloane conjecture on the tightness of the Carlitz-Uchiyama bound and the weights of duals of BCH codes
• A New Treatment of Bose-Chaudhuri Codes
• A New Class of Cyclic Codes
• On Exponential Sums in Finite Fields
• On Some Exponential Sums
• Bounds for exponential sums

This page was built for publication: Divisibility properties and new bounds for cyclic codes and exponential sums in one and several variables