Generalized Gray map and a class of \(p\)-ary nonlinear codes

DOI10.1016/j.ffa.2015.06.006zbMath1355.94098OpenAlexW2206936923MaRDI QIDQ747972

Ziling Heng, Qin Yue

Publication date: 19 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.06.006

zbMATH Keywords

exponential sumsGalois ringsGray map

Mathematics Subject Classification ID

Related Items (2)

Optimal codebooks achieving the Levenshtein bound from generalized bent functions over \(\mathbb {Z}_{4}\) ⋮ Codebooks from generalized bent \(\mathbb{Z}_4\)-valued quadratic forms

Cites Work

• Modular and \(p\)-adic cyclic codes
• Linear recurring sequences over Galois rings
• On BCH codes over arbitrary integer tings (Corresp.)
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Gray isometries for finite chain rings and a nonlinear ternary (36, 3/sup 12/, 15) code
• Z/sub 2/k-linear codes
• An upper bound for Weil exponential sums over Galois rings and applications
• On Z/sub 4/-duality
• Improved estimates via exponential sums for the minimum distance of Z/sub 4/-linear trace codes
• Improved binary codes and sequence families from Z/sub 4/-linear codes
• Two New Families of Optimal Binary Sequences Obtained From Quaternary Sequences
• Several Classes of Codes and Sequences Derived From a $\BBZ_{4}$-Valued Quadratic Form
• New Classes of Balanced Quaternary and Almost Balanced Binary Sequences With Optimal Autocorrelation Value
• Improved p-ary Codes and Sequence Families from Galois Rings of Characteristic p2
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