Divisibility properties for covering radius of certain cyclic codes

DOI10.1109/TIT.2003.820033zbMath1301.94171MaRDI QIDQ3547396

Francis N. Castro, Oscar Moreno

Publication date: 21 December 2008

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Applications of the theory of convex sets and geometry of numbers (covering radius, etc.) to coding theory (94B75)

Related Items (13)

Quasi-perfect linear codes from planar and APN functions ⋮ On the number of solutions of certain diagonal equations over finite fields ⋮ On the covering radii of a class of binary primitive cyclic codes ⋮ On the covering radius of some binary cyclic codes ⋮ A divisibility approach to the open boundary cases of Cusick-Li-Stǎnicǎ's conjecture ⋮ Bound for mixed exponential sums associated to binary good cyclic codes ⋮ The covering radii of a class of binary cyclic codes and some BCH codes ⋮ On systems of linear and diagonal equation of degree \(p^i+1\) over finite fields of characteristic \(p\) ⋮ Modular periodicity of exponential sums of symmetric Boolean functions ⋮ Improvement to Moreno-Moreno's theorems ⋮ Construction of systems of polynomial equations with exact p-Divisibility via the covering method ⋮ Point count divisibility for algebraic sets over ℤ/𝕡^{ℓ}ℤ and other finite principal rings ⋮ On the number of solutions of systems of certain diagonal equations over finite fields

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