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An Asymptotic Formula in q for the Number of [n, k] q-Ary MDS Codes

An Asymptotic Formula in q for the Number of [n, k] q-Ary MDS Codes

KAIPA, KRISHNA
URI: http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/5227
https://doi.org/10.1109/TIT.2014.2349903
Date: 2014-11


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.

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