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Designs, Codes and Cryptography

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12.09.2020

Two families of two-weight codes over \(\mathbb {Z}_4\)

verfasst von: Minjia Shi, Wang Xuan, Patrick Solé

Erschienen in: Designs, Codes and Cryptography | Ausgabe 12/2020

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Abstract

Two infinite families of \(\mathbb {Z}_4\)-codes with two nonzero Lee weights are constructed by their generator matrices. Their Gray images are nonlinear with the same weight distribution as that of the two-weight binary codes of type SU1 in the sense of (Calderbank, Kantor, 1986).

Vorheriger Artikel Optimal minimal linear codes from posets

Nächster Artikel Wide-sense 2-frameproof codes

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Titel: Two families of two-weight codes over
verfasst von: Minjia Shi
Wang Xuan
Patrick Solé
Publikationsdatum: 12.09.2020
Verlag: Springer US
Erschienen in: Designs, Codes and Cryptography / Ausgabe 12/2020
Print ISSN: 0925-1022
Elektronische ISSN: 1573-7586
DOI: https://doi.org/10.1007/s10623-020-00796-x

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Two families of two-weight codes over \(\mathbb {Z}_4\)

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