Work

A Note on New Near-Extremal Type I Z4-Codes of Length 48

Year: 2025

Type: article

Abstract: The subject of this work is self-dual Type I Z4-codes of length 48. It is known that the usual upper bound for the minimum Euclidean weight for the self-dual Z4-codes cannot be achieved for this length and type of codes; i.e., extremal Type I Z4-codes of length 48 do not exist. We are therefore looking for near-extremal Type I Z4-codes of length 48. The only known Type I near-extremal Z4-code of length 48 was constructed in 2015 by M. Harada. We adapted a known pseudo-random search method and found at least two new near-extremal Type I Z4-codes of length 48. These codes are the first Type I near-extremal Z4-codes with a residue code of minimum weight 8.

Source: Mathematics

DOI: 10.3390/math13060946

Authors: Matteo Mravić, Sanja Rukavina

Institution: University of Rijeka

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Sveučilište u Rijeci