3 papers
cs.IT2025
The complete weight distribution of a family of irreducible cyclic codes of dimension two
Gerardo Vega, Félix Hernández
An important family of codes for data storage systems, cryptography, consumer electronics, and network coding for error control in digital communications are the so-called cyclic c…
cs.IT2021
The complete weight enumerator of a subclass of optimal three-weight cyclic codes
Gerardo Vega, Félix Hernández
A class of optimal three-weight cyclic codes of dimension 3 over any finite field was presented by Vega [Finite Fields Appl., 42 (2016) 23-38]. Shortly thereafter, Heng and Yue [IE…
cs.IT2021
Optimal three-weight cyclic codes whose duals are also optimal
Gerardo Vega, Félix Hernández
A class of optimal three-weight cyclic codes of dimension 3 over any finite field was presented by Vega [Finite Fields Appl., 42 (2016) 23-38]. Shortly thereafter, Heng and Yue [IE…