Differential approach for the study of duals of algebraic-geometric codes on surfaces
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Publication:449692
DOI10.5802/jtnb.752zbMath1278.14036arXiv0905.2341OpenAlexW2964335538WikidataQ115158940 ScholiaQ115158940MaRDI QIDQ449692
Publication date: 31 August 2012
Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0905.2341
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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Uses Software
Cites Work
- On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields
- Sums of residues on algebraic surfaces and application to coding theory
- Linear codes and modular curves
- Codes defined by forms of degree 2 on Hermitian surfaces and Sørensen's conjecture
- Error-correcting codes on low rank surfaces
- Bertini theorems over finite fields
- Algebraic Function Fields and Codes
- Codes Defined by Forms of Degree $2$ on Quadric Surfaces
- Geometric reed-solomon codes of length 64 and over 65 over F/sub 8/
- MinT: A Database for Optimal Net Parameters
- On generalized ReedMuller codes and their relatives
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