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arXiv · 2405.02841

Two-weight rank-metric codes

Ferdinando Zullo·Olga Polverino·Paolo Santonastaso·John Sheekey
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Abstract

Two-weight linear codes are linear codes in which any nonzero codeword can have only two possible distinct weights. Those in the Hamming metric have proven to be very interesting for their connections with authentication codes, association schemes, strongly regular graphs, and secret sharing schemes. In this paper, we characterize two-weight codes in the rank metric, answering a recent question posed by Pratihar and Randrianarisoa.

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Ferdinando Zullo, Olga Polverino, Paolo Santonastaso, John Sheekey. 2024-05-05. Two-weight rank-metric codes. https://arxiv.org/abs/2405.02841

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