On Euclidean Hulls of MDS Codes

August 03, 2019 Β· Declared Dead Β· πŸ› Cryptography and Communications

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Authors Xiaolei Fang, Meiqing Liu, Jinquan Luo arXiv ID 1908.01173 Category cs.IT: Information Theory Citations 11 Venue Cryptography and Communications Last Checked 4 months ago
Abstract
In this paper, we propose a mechanism on the constructions of MDS codes with arbitrary dimensions of Euclidean hulls. Precisely, we construct (extended) generalized Reed-Solomon(GRS) codes with assigned dimensions of Euclidean hulls from self-orthogonal GRS codes. It turns out that our constructions are more general than previous works on Euclidean hulls of (extended) GRS codes.
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