15 citations · 23 across the 7 of their papers we have counts for
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Twisted Reed-Solomon Codes
Peter Beelen, Sven Puchinger, Johan Rosenkilde
In this article, we present a new construction of evaluation codes in the Hamming metric, which we call twisted Reed-Solomon codes. Whereas Reed-Solomon (RS) codes are MDS codes, t…
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…
Bounds on List Decoding of Linearized Reed-Solomon Codes
Sven Puchinger, Johan Rosenkilde
Linearized Reed-Solomon (LRS) codes are sum-rank metric codes that fulfill the Singleton bound with equality. In the two extreme cases of the sum-rank metric, they coincide with Re…