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The equivalent condition for GRL codes to be MDS, AMDS or self-dual (2506.03874v1)
Published 4 Jun 2025 in cs.IT and math.IT
Abstract: It is well-known that MDS, AMDS or self-dual codes have good algebraic properties, and are applied in communication systems, data storage, quantum codes, and so on. In this paper, we focus on a class of generalized Roth-Lempel linear codes, and give an equivalent condition for them or their dual to be non-RS MDS, AMDS or non-RS self-dual and some corresponding examples.
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