211 citations
- The University of Texas at AustinUS29 papers
- University of SussexGB26 papers
- Korea Advanced Institute of Science and TechnologyKR20 papers
- AlbaNovaSE16 papers
- Centre National de la Recherche ScientifiqueFR16 papers
- Stockholm UniversitySE15 papers
- Observatoire astronomique de StrasbourgFR11 papers
- The University of TokyoJP10 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP9 papers
- Leibniz Institute for Astrophysics PotsdamDE9 papers
- Université de StrasbourgFR9 papers
- Institut d'Astrophysique SpatialeFR8 papers
4 papers · 1 filter
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…
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 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…