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math.AG2021
Improved Power Decoding of Algebraic Geometry Codes
Sven Puchinger, Johan Rosenkilde, Grigory Solomatov
Power decoding is a partial decoding paradigm for arbitrary algebraic geometry codes for decoding beyond half the minimum distance, which usually returns the unique closest codewor…
math.AG2020
Fast Encoding of AG Codes over Curves
Peter Beelen, Johan Rosenkilde, Grigory Solomatov
We investigate algorithms for encoding of one-point algebraic geometry (AG) codes over certain plane curves called curves, as well as algorithms for inverting the encoding…