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Algebraic structures of MRD Codes
January 16, 2015 Β· Declared Dead Β· π Advances in Mathematics of Communications
"No code URL or promise found in abstract"
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Authors
Javier de la Cruz, Michael Kiermaier, Alfred Wassermann, Wolfgang Willems
arXiv ID
1502.02711
Category
cs.IT: Information Theory
Cross-listed
math.CO,
math.RA
Citations
57
Venue
Advances in Mathematics of Communications
Last Checked
5 months ago
Abstract
Based on results in finite geometry we prove the existence of MRD codes in (F_q)_(n,n) with minimum distance n which are essentially different from Gabidulin codes. The construction results from algebraic structures which are closely related to those of finite fields. Some of the results may be known to experts, but to our knowledge have never been pointed out explicitly in the literature.
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