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
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2349903
