On The Dimension of The Subfield Subcodes of 1-Point Hermitian Codes
June 25, 2019 Β· Declared Dead Β· π Advances in Mathematics of Communications
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Authors
Sabira El Khalfaoui, GΓ‘bor P. Nagy
arXiv ID
1906.10444
Category
math.AG
Cross-listed
cs.IT
Citations
3
Venue
Advances in Mathematics of Communications
Last Checked
3 months ago
Abstract
Subfield subcodes of algebraic-geometric codes are good candidates for the use in post-quantum cryptosystems, provided their true parameters such as dimension and minimum distance can be determined. In this paper we present new values of the true dimension of subfield subcodes of $1$--point Hermitian codes, including the case when the subfield is not binary.
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