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Explicit bases for Riemann-Roch spaces on elliptic curves and their application in constructing various elliptic code families

Kuninets, Artyom et al.
arXiv (OAI Expanded) · Papers
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algebraic-geometrycryptography-and-securityinformation-theory
In this paper, we determine explicit bases for Riemann-Roch spaces associated with various families of elliptic codes. We establish the feasibility and provide exact algorithms for constructing bases of Riemann-Roch spaces corresponding to arbitrary divisors on elliptic curves, including the non-eff
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