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

Published 25 Jun 2019 in math.AG, cs.IT, and math.IT | (1906.10444v2)

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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