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Goppa code and quantum stabilizer codes from plane curves given by separated polynomials
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In this paper, we examine algebraic geometric (AG) codes associated with curves generated by separated polynomials, and we create AG codes and quantum stabilizer codes from these curves by varying their parameters. Our research involves a thorough examination of the curves' algebraic features as well as the creation of Goppa codes over them. Extending these findings, we create quantum stabilizer codes, revealing that quantum codes built from Hermitian self-orthogonal AG codes have acceptable parameters, improving the reliability and performance of communication networks.
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Cited by 1 Pith paper
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Reinforcement Learning Enhanced Greedy Decoding for Quantum Stabilizer Codes over $\mathbb{F}_q$
A claimed [[27,13,4]]_3 qutrit code from separated-polynomial curves and an RL-on-Greedy decoder are presented, but internal math inconsistencies and missing simulation data undermine the claims.
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