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cs.IT2019
On Self-Orthogonality and Self-Duality of Matrix-Product Codes over Commutative Rings
Abdulaziz Deajim, Mohamed Bouye
Let be a commutative ring with identity. The paper studies the problem of self-orthogonality and self-duality matrix-product codes (MPCs) over . Some methods as well as spec…
cs.IT2019
Matrix-Product Codes over Commutative Rings and Constructions Arising from -Codes
Mhammed Boulagouaz, Abdulaziz Deajim
A well-known lower bound (over finite fields and some special finite commutative rings) on the Hamming distance of a matrix-product code (MPC) is shown to remain valid over any com…
cs.IT2019
The Hulls of Matrix-Product Codes over Commutative Rings and Applications
Abdulaziz Deajim, Mohamed Bouye, Kenza Guenda
Given a commutative ring with identity, a matrix , and -linear codes of the same length, this article considers…