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Constructions of optimal LCD codes over large finite fields
April 13, 2017 Β· Declared Dead Β· π Finite Fields Their Appl.
"No code URL or promise found in abstract"
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Authors
Lin Sok, Minjia Shi, Patrick SolΓ©
arXiv ID
1704.04083
Category
cs.IT: Information Theory
Citations
67
Venue
Finite Fields Their Appl.
Last Checked
5 months ago
Abstract
In this paper, we prove existence of optimal complementary dual codes (LCD codes) over large finite fields. We also give methods to generate orthogonal matrices over finite fields and then apply them to construct LCD codes. Construction methods include random sampling in the orthogonal group, code extension, matrix product codes and projection over a self-dual basis.
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