A Galois-invariant technique gives necessary and sufficient conditions for non-special divisors on general Kummer extensions, producing explicit LCP AG codes across three ramification regimes that meet or approach the Goppa bound.
Linear complementary dual codes and linear complementary pairs of AG codes in function fields,
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Construction of Non-special Divisors on Kummer Covers With Arbritary Ramification For LCP Codes
A Galois-invariant technique gives necessary and sufficient conditions for non-special divisors on general Kummer extensions, producing explicit LCP AG codes across three ramification regimes that meet or approach the Goppa bound.