Search

Your search keyword '"94B99, 16Y60 (Primary), 15B33 (Secondary)"' showing total 2 results
Start Over Descriptor "94B99, 16Y60 (Primary), 15B33 (Secondary)"
2 results on '"94B99, 16Y60 (Primary), 15B33 (Secondary)"'

1. Algebraic structures of MRD Codes

Author

de la Cruz, Javier, Kiermaier, Michael, Wassermann, Alfred, and Willems, Wolfgang

Subjects
Computer Science - Information Theory, Mathematics - Combinatorics, 94B99, 16Y60 (Primary), 15B33 (Secondary)
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.

Published
2015

2. Algebraic structures of MRD Codes

Author

Wolfgang Willems, Michael Kiermaier, Javier de la Cruz, and Alfred Wassermann

Subjects
Discrete mathematics, FOS: Computer and information sciences, Algebra and Number Theory, Computer Networks and Communications, Algebraic structure, Applied Mathematics, Computer Science - Information Theory, Information Theory (cs.IT), Minimum distance, 020206 networking & telecommunications, 0102 computer and information sciences, 02 engineering and technology, 01 natural sciences, Finite field, 010201 computation theory & mathematics, 94B99, 16Y60 (Primary), 15B33 (Secondary), Linear network coding, 0202 electrical engineering, electronic engineering, information engineering, Finite geometry, FOS: Mathematics, Discrete Mathematics and Combinatorics, Mathematics - Combinatorics, Combinatorics (math.CO), Mathematics, Computer Science::Information Theory
Abstract

Based on results in finite geometry we prove the existence of MRD codes in $(\mathbb{F}_q)_{n,n}$ 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.

Published
2015
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results