Codes from Riemann-Roch spaces for \(y^{2} = x^{p} - x\) over \(\text{GF}(p)\)

DOI10.1504/IJICOT.2010.032545zbMath1208.94068OpenAlexW2110666764MaRDI QIDQ622791

Darren Glass, W. David Joyner, Amy E. Ksir

Publication date: 4 February 2011

Published in: International Journal of Information and Coding Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijicot.2010.032545

zbMATH Keywords

automorphism grouphyperelliptic curvesRiemann-Roch spaces\(SL(2,p)\) representationsAG codes

Mathematics Subject Classification ID

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)

Related Items (1)

The Galois module structure of holomorphic poly-differentials and Riemann-Roch spaces

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