Two-weight cyclic codes constructed as the direct sum of two one-weight cyclic codes

DOI10.1016/j.ffa.2008.01.002zbMath1175.94125OpenAlexW2015528029MaRDI QIDQ938773

Gerardo Vega

Publication date: 27 August 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2008.01.002

zbMATH Keywords

Gaussian sumsone-weight cyclic codestwo-weight cyclic codes

Mathematics Subject Classification ID

Cyclic codes (94B15)

Related Items (16)

Linear codes over \({\mathbb{F}}_3+u\mathbb{F}_3+u^2\mathbb{F}_3\): MacWilliams identities, optimal ternary codes from one-Lee weight codes and two-Lee weight codes ⋮ Recent progress on weight distributions of cyclic codes over finite fields ⋮ A characterization of a class of optimal three-weight cyclic codes of dimension 3 over any finite field ⋮ The weight distribution of a class of cyclic codes containing a subclass with optimal parameters ⋮ Unnamed Item ⋮ A Family of Six-Weight Reducible Cyclic Codes and their Weight Distribution ⋮ Vectorial bent functions and linear codes from quadratic forms ⋮ Construction of one-Gray weight codes and two-Gray weight codes over \(\mathbb{Z}_{4} + u \mathbb{Z}_{4}\) ⋮ Optimal \(p\)-ary codes from one-weight and two-weight codes over \(\mathbb{F}_p + v\mathbb{F}_p^* \) ⋮ On the Number of Two-Weight Cyclic Codes with Composite Parity-Check Polynomials ⋮ A construction of codes with linearity from two linear codes ⋮ On generalized MacDonald codes ⋮ The Weight Distribution for an Extended Family of Reducible Cyclic Codes ⋮ Construction of two-Lee weight codes over ⋮ Weight distributions of a class of cyclic codes from \(\mathbb F_l\)-conjugates ⋮ Optimal binary codes from one-Lee weight codes and two-Lee weight projective codes over \(\mathbb Z_4\)

Cites Work

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• All two-weight irreducible cyclic codes?
• New classes of 2-weight cyclic codes
• Projective two-weight irreducible cyclic and constacyclic codes
• Are<tex>$2$</tex>-Weight Projective Cyclic Codes Irreducible?
• Some two-weight codes with composite parity-check polynomials (Corresp.)
• Determining the Number of One-Weight Cyclic Codes When Length and Dimension Are Given
• Power moment identities on weight distributions in error correcting codes

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