Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve

Date

2019-06-01

Author

Geil, Olav
Özbudak, Ferruh
Ruano, Diego

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Using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve over a finite field, we construct sequences with improved high nonlinear complexity. In particular we improve the bound obtained in Niederreiter and Xing (IEEE Trans Inf Theory 60(10):6696-6701, 2014, Theorem3) considerably and the bound in Niederreiter and Xing (2014, Theorem4) for some parameters.

Subject Keywords

Algebra and Number Theory

URI

https://hdl.handle.net/11511/37254

Journal

SEMIGROUP FORUM

DOI

https://doi.org/10.1007/s00233-018-9976-8

Collections

Department of Mathematics, Article

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Citation Formats

O. Geil, F. Özbudak, and D. Ruano, “Constructing sequences with high nonlinear complexity using the Weierstrass semigroup of a pair of distinct points of a Hermitian curve,” SEMIGROUP FORUM, pp. 543–555, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37254.