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On Parameters of Subfield Subcodes of Extended Norm-Trace Codes
April 20, 2016 Β· Declared Dead Β· π Advances in Mathematics of Communications
"No code URL or promise found in abstract"
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Authors
Heeralal Janwa, Fernando L. PiΓ±ero
arXiv ID
1604.05777
Category
math.AG
Cross-listed
cs.IT,
math.AC,
math.CO,
math.NT
Citations
3
Venue
Advances in Mathematics of Communications
Last Checked
3 months ago
Abstract
In this article we describe how to find the parameters of subfield subcodes of extended Norm--Trace codes. With a GrΓΆbner basis of the ideal of the $\mathbb{F}_{q^r}$ rational points of the Norm--Trace curve one can determine the dimension of the subfield subcodes or the dimension of the trace code. We also find a BCH--like bound from the minimum distance of the original supercode.
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