On the weights of dual codes arising from the GK curve
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Publication:2682395
DOI10.1007/s00200-020-00480-6OpenAlexW3120144430MaRDI QIDQ2682395
Matteo Bonini, Edoardo Ballico
Publication date: 31 January 2023
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.08126
Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Applications to coding theory and cryptography of arithmetic geometry (14G50)
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Cites Work
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- The dual minimum distance of arbitrary-dimensional algebraic-geometric codes
- On the small-weight codewords of some Hermitian codes
- A new family of maximal curves over a finite field
- Multi point AG codes on the GK maximal curve
- Finite subsets of projective spaces with bad postulation in a fixed degree
- On the duals of geometric Goppa codes from norm-trace curves
- Intersections between the norm-trace curve and some low degree curves
- Minimum weight codewords in dual algebraic-geometric codes from the Giulietti-Korchmáros curve
- Two-Point AG Codes on the GK Maximal Curves
- Algebraic Function Fields and Codes
- Codes From the Suzuki Function Field
- A generalization of the Giulietti–Korchmáros maximal curve
- ALGEBRAICO-GEOMETRIC CODES
- Codes on the Klein quartic, ideals, and decoding (Corresp.)
- Generalized Hamming weights for linear codes
- On the generalized Hamming weights of several classes of cyclic cods
- The weight hierarchy of higher dimensional Hermitian codes
- On the generalized Hamming weights of product codes
- Fundamentals of Error-Correcting Codes
- Geometric approach to higher weights
- The Weight Hierarchy of Hermitian Codes
- One-Point AG Codes on the GK Maximal Curves
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