Work

Binary Images of Z2Z4-Additive Cyclic Codes

Year: 2017

Type: preprint

Abstract: A Z2Z4-additive code C is called cyclic if the set of coordinates can be partitioned into two subsets, the set of Z_2 and the set of Z_4 coordinates, such that any cyclic shift of the coordinates of both subsets leaves the code invariant. We study the binary images of Z2Z4-additive cyclic codes. We determine all Z2Z4-additive cyclic codes with odd beta whose Gray images are linear binary codes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1707.03214

Authors: Borges, J., Dougherty, S. T., Fernández-Córdoba, C., Ten-Valls, R.

Institutions: University of Scranton, Universitat Autònoma de Barcelona

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación

Award: G1586623343

OpenAlex ID: W2736076565

Cites: 12

Cited by: 6

Related to: 10