15 citations · 60 across the 17 of their papers we have counts for
14 papers · 1 filter
The Key Equation for One-Point Codes
Michael E. O'Sullivan, Maria Bras-Amorós
For Reed-Solomon codes, the key equation relates the syndrome polynomial---computed from the parity check matrix and the received vector---to two unknown polynomials, the locator a…
The Sum-Product Algorithm for Degree-2 Check Nodes and Trapping Sets
John O. Brevik, Michael E. O'Sullivan
The sum-product algorithm for decoding of binary codes is analyzed for bipartite graphs in which the check nodes all have degree . The algorithm simplifies dramatically and may…
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…
List decoding of repeated codes
Fernando Hernando, Michael O'Sullivan, Diego Ruano
Assuming that we have a soft-decision list decoding algorithm of a linear code, a new hard-decision list decoding algorithm of its repeated code is proposed in this article. Althou…
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…
The Dimension of Subcode-Subfields of Shortened Generalized Reed Solomon Codes
Fernando Hernando, Kyle Marshall, Michael E. O'Sullivan
Reed-Solomon (RS) codes are among the most ubiquitous codes due to their good parameters as well as efficient encoding and decoding procedures. However, RS codes suffer from having…