The weight distributions of a class of cyclic codes with three nonzeros over \(\mathbb{F}_3\)
From MaRDI portal
Publication:2336637
DOI10.1155/2014/686138zbMath1442.94061arXiv1303.0503OpenAlexW2116561119WikidataQ59054042 ScholiaQ59054042MaRDI QIDQ2336637
Publication date: 19 November 2019
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.0503
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Bounds on codes (94B65) Cyclic codes (94B15)
Related Items
Symmetric bilinear forms over finite fields with applications to coding theory ⋮ The weight distributions of two classes of binary cyclic codes
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The weight distributions of some cyclic codes with three or four nonzeros over \(\mathbb F_3\)
- The weight distributions of cyclic codes with two zeros and zeta functions
- The Magma algebra system. I: The user language
- Hasse-Davenport curves, Gauss sums, and weight distributions of irreducible cyclic codes
- Hamming weights in irreducible cyclic codes
- The weight distributions of a class of cyclic codes. II
- On the bounds and achievability about the ODPC of \(\mathrm{GRM}(2,m)^*\) over prime fields for increasing message length
- Weight distribution of some reducible cyclic codes
- Euler products, cyclotomy, and coding
- Sums of Gauss sums and weights of irreducible codes
- The Weight Distribution of a Class of Cyclic Codes Related to Hermitian Forms Graphs
- The weight distributions of some minimal cyclic codes (Corresp.)
- Surfaces and the weight distribution of a family of codes
- Further Results on $m$-Sequences With Five-Valued Cross Correlation
- A Family of $m$-Sequences With Five-Valued Cross Correlation
- The Weight Distribution of Some Irreducible Cyclic Codes
- The Weight Distributions of the Duals of Cyclic Codes With Two Zeros
- A Lower Bound on the Optimum Distance Profiles of the Second-Order Reed–Muller Codes
- Cyclic Codes and Sequences: The Generalized Kasami Case
- A Family of Five-Weight Cyclic Codes and Their Weight Enumerators
- A New Class of Cyclic Codes
- On permutation decoding of binary cyclic double-error-correcting codes of certain lengths (Corresp.)
- On Binary Cyclic Codes Which are Also Cyclic Codes Over $GF(2^s )$
- Permutation decoding of certain triple-error-correcting binary codes (Corresp.)
- A decoding procedure for multiple-error-correcting cyclic codes
This page was built for publication: The weight distributions of a class of cyclic codes with three nonzeros over \(\mathbb{F}_3\)