15 citations · 23 across the 8 of their papers we have counts for
10 papers
New Lower Bounds on the Generalized Hamming Weights of AG Codes
Maria Bras-Amorós, Kwankyu Lee, Albert Vico-Oton
A sharp upper bound for the maximum integer not belonging to an ideal of a numerical semigroup is given and the ideals attaining this bound are characterized. Then the result is us…
Decoding of Differential AG Codes
Kwankyu Lee
The interpolation-based decoding that was developed for general evaluation AG codes is shown to be equally applicable to general differential AG codes. A performance analysis of th…
Unique Decoding of General AG Codes
Kwankyu Lee, Maria Bras-Amorós, Michael E. O'Sullivan
A unique decoding algorithm for general AG codes, namely multipoint evaluation codes on algebraic curves, is presented. It is a natural generalization of the previous decoding algo…
Unique Decoding of Plane AG Codes Revisited
Kwankyu Lee
We reformulate a recently introduced interpolation-based unique decoding algorithm of algebraic geometry codes using the theory of Gröbner bases of modules on the coordinate ring o…
Unique Decoding of Plane AG Codes via Interpolation
Kwankyu Lee, Maria Bras-Amorós, Michael E. O'Sullivan
We present a unique decoding algorithm of algebraic geometry codes on plane curves, Hermitian codes in particular, from an interpolation point of view. The algorithm successfully c…
Algebraic Soft-Decision Decoding of Hermitian Codes
Kwankyu Lee, Michael E. O'Sullivan
An algebraic soft-decision decoder for Hermitian codes is presented. We apply Koetter and Vardy's soft-decision decoding framework, now well established for Reed-Solomon codes, to…