The Homogeneous Gray image of linear codes over the Galois ring GR(4, m)
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Theory and Mathematics,Computer Networks and Communications
Link
https://link.springer.com/content/pdf/10.1007/s12095-023-00683-x.pdf
Reference19 articles.
1. Carlet, C.: $$\mathbb{Z} _{2^k}$$-Linear codes. IEEE Trans. Inf. Theory 44(4), 1543–1547 (1998)
2. Dougherty, S.T., Fernández-Córdoba, C.: Codes over $$\mathbb{Z} _{2^k}$$, Gray map and self-dual codes. Adv. Math. Commun. 5(4), 571–588 (2011)
3. Eyvazi, H., Samei, K., Savari, B.: The linearity of Carlet’s Gray image of linear codes over $$\mathbb{Z} _8$$. Des. Codes Cryptogr. 90(10), 2361–2373 (2022)
4. Fernández-Córdoba, C., Vela, C., Villanueva, M.: On $$\mathbb{Z} _{2^s}$$-linear Hadamard codes, kernel and partial classification. Des. Codes Cryptogr. 87, 417–435 (2019)
5. Fernández-Córdoba, C., Vela, C., Villanueva, M.: On $$\mathbb{Z} _8$$-linear Hadamard codes, rank and classification. IEEE Trans. Inf. Theory 66(2), 970–982 (2020)
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