DocumentCode
36987
Title
An Asymptotic Formula in q for the Number of [n, k]~q-Ary MDS Codes
Author
Kaipa, Krishna V.
Author_Institution
Dept. of Math., Indian Inst. of Sci. & Educ. Res., Pune, India
Volume
60
Issue
11
fYear
2014
fDate
Nov. 2014
Firstpage
7047
Lastpage
7057
Abstract
We obtain an asymptotic formula in q, as well as new upper and lower bounds, for the number of MDS codes of length n and dimension k over a finite field with q elements.
Keywords
algebra; algebraic codes; linear codes; asymptotic formula; finite field; maximum distance separable; q-ary MDS codes; Equations; Erbium; Generators; Hamming weight; Linear codes; Standards; Vectors; Grassmannian; MDS codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2014.2349903
Filename
6880788
Link To Document