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A generalization of Kung’s theorem

Permanent link
https://hdl.handle.net/10037/9044
DOI
https://doi.org/10.1007/s10623-015-0139-6
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accepted manuscript version (PDF)
Date
2015-10-01
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Johnsen, Trygve; Shiromoto, Keisuke; Verdure, Hugues
Abstract
We give a generalization of Kung’s theorem on critical exponents of linear codes over a finite field, in terms of sums of extended weight polynomials of linear codes. For all i=k+1,…,ni=k+1,…,n, we give an upper bound on the smallest integer m such that there exist m codewords whose union of supports has cardinality at least i.
Description
Accepted manuscript version. The final publication is available at Springer via http://doi.org/10.1007/s10623-015-0139-6.
Publisher
Springer
Citation
Designs, Codes and Cryptography 2015
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