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.
On maximal curves related to Chebyshev polynomi- als,
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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.