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- W4386075181 abstract "This paper proposes the re-encoding transformed (ReT) based list decoding using the module basis reduction (BR) interpolation for algebraic geometric (AG) codes on C <inf xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>ab</inf> curves. The two ReT approaches are introduced to facilitate the BR interpolation. One is realized by the bivariate Lagrange polynomial. The other is conducted by the ReT of Reed-Solomon (RS) codes based on the mathematical structure of AG codes. The ReT based BR interpolation (ReT-BR) algorithm for decoding the AG codes is further introduced. Finally, complexity of the proposed algorithm is analyzed and validated by the simulation results, demonstrating its complexity advantage over the non-ReT counterpart." @default.
- W4386075181 created "2023-08-23" @default.
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- W4386075181 date "2023-06-25" @default.
- W4386075181 modified "2023-09-27" @default.
- W4386075181 title "The Re-encoding Transform in Algebraic List Decoding of Algebraic Geometric Codes" @default.
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- W4386075181 doi "https://doi.org/10.1109/isit54713.2023.10206845" @default.
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