Trace description and Hamming weights of irreducible constacyclic codes

DOI10.3934/amc.2018008zbMath1414.94940OpenAlexW2789458931MaRDI QIDQ1783711

Saroj Rani, Anuradha Sharma

Publication date: 21 September 2018

Published in: Advances in Mathematics of Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/amc.2018008

zbMATH Keywords

cyclotomic numberscyclic codesnegacyclic codesGaussian sumsGaussian periodsHamming weight distributions

Mathematics Subject Classification ID

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

Related Items

Several families of irreducible constacyclic and cyclic codes, Two classes of constacyclic codes with variable parameters, Multi-twisted codes over finite fields and their dual codes

Uses Software

• Code Tables

Cites Work

• A note on the weight distribution of minimal constacyclic codes
• Complete solving of explicit evaluation of Gauss sums in the index 2 case
• The weight distribution of some irreducible cyclic codes
• Explicit lifts of quintic Jacobi sums and period polynomials for \(\mathbb F_q\)
• The weight distribution of irreducible cyclic codes with block lengths \(n_1 ((q^\ell-1)/N)\)
• All two-weight irreducible cyclic codes?
• Hamming weights in irreducible cyclic codes
• The weight distributions of irreducible cyclic codes of length \(2^m\)
• A note on weight distributions of irreducible cyclic codes
• The weight distributions of some minimal cyclic codes (Corresp.)
• Period polynomials and Gauss sums for finite fields
• Two recursive algorithms for computing the weight distribution of certain irreducible cyclic codes
• The Weight Distribution of Some Irreducible Cyclic Codes
• Weights of irreducible cyclic codes
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