15 citations · 23 across the 7 of their papers we have counts for
4 papers · 1 filter
Two-Point Codes for the Generalized GK curve
Elise Barelli, Peter Beelen, Mrinmoy Datta +2
We improve previously known lower bounds for the minimum distance of certain two-point AG codes constructed using a Generalized Giulietti-Korchmaros curve (GGK). Castellanos and Ti…
Fast Computation of the Roots of Polynomials Over the Ring of Power Series
Vincent Neiger, Johan Rosenkilde, Eric Schost
We give an algorithm for computing all roots of polynomials over a univariate power series ring over an exact field . More precisely, given a precision , and a polyn…
Improved Power Decoding of One-Point Hermitian Codes
Sven Puchinger, Irene Bouw, Johan Rosenkilde né Nielsen
We propose a new partial decoding algorithm for one-point Hermitian codes that can decode up to the same number of errors as the Guruswami--Sudan decoder. Simulations suggest that…
Decoding of Interleaved Reed-Solomon Codes Using Improved Power Decoding
Sven Puchinger, Johan Rosenkilde né Nielsen
We propose a new partial decoding algorithm for -interleaved Reed--Solomon (IRS) codes that can decode, with high probability, a random error of relative weight $1-R^{\frac{m}{m…