On Euclidean Hulls of MDS Codes
August 03, 2019 Β· Declared Dead Β· π 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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