On The Dimension of The Subfield Subcodes of 1-Point Hermitian Codes

June 25, 2019 Β· Declared Dead Β· πŸ› 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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