Michael E. O'Sullivan

CoRR, 2021

2019

The Symmetric Key Equation for Reed-Solomon Codes and a New Perspective on the Berlekamp-Massey Algorithm.

[BibT_eX]

[DOI]

Symmetry, 2019

2017

Hypersurfaces in weighted projective spaces over finite fields with applications to coding theory.

[BibT_eX]

[DOI]

Samrith Ram

CoRR, 2017

2014

Unique Decoding of General AG Codes.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2014

The Sum-Product Algorithm for Degree-2 Check Nodes and Trapping Sets.

[BibT_eX]

[DOI]

John O. Brevik

CoRR, 2014

2013

The dimension of subcode-subfields of shortened generalized Reed-Solomon codes.

[BibT_eX]

[DOI]

Fernando Hernando

Kyle Marshall

Des. Codes Cryptogr., 2013

List decoding of repeated codes.

[BibT_eX]

[DOI]

Fernando Hernando

Diego Ruano

Appl. Algebra Eng. Commun. Comput., 2013

2012

Unique Decoding of Plane AG Codes via Interpolation.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2012

2010

Algebraic soft-decision decoding of Hermitian codes.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2010

Subfield-subcodes of Generalized Toric codes.

[BibT_eX]

[DOI]

Fernando Hernando

Emanuel M. Popovici

Shraddha Srivastava

Proceedings of the IEEE International Symposium on Information Theory, 2010

2009

List decoding of Hermitian codes using Gröbner bases.

[BibT_eX]

[DOI]

J. Symb. Comput., 2009

The Berlekamp-Massey Algorithm and the Euclidean Algorithm: a Closer Link

[BibT_eX]

[DOI]

CoRR, 2009

A Generalization of the Zig-Zag Graph Product by Means of the Sandwich Product.

[BibT_eX]

[DOI]

David M. Monarres

Proceedings of the Applied Algebra, 2009

Simulation of the Sum-Product Algorithm Using Stratified Sampling.

[BibT_eX]

[DOI]

John Brevik

Anya Umlauf

Richard Wolski

Proceedings of the Applied Algebra, 2009

From the Euclidean Algorithm for Solving a Key Equation for Dual Reed-Solomon Codes to the Berlekamp-Massey Algorithm.

[BibT_eX]

[DOI]

Proceedings of the Applied Algebra, 2009

2008

List decoding of Reed-Solomon codes from a Gröbner basis perspective.

[BibT_eX]

[DOI]

J. Symb. Comput., 2008

Redundancies of correction capability optimized Reed-Muller codes.

[BibT_eX]

[DOI]

Discret. Appl. Math., 2008

Duality for some families of correction capability optimized evaluation codes.

[BibT_eX]

[DOI]

Adv. Math. Commun., 2008

2007

The Order Bound on the Minimum Distance of the One-Point Codes Associated to the Garcia-Stichtenoth Tower.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2007

On Semigroups Generated by Two Consecutive Integers and Improved Hermitian Codes.

[BibT_eX]

[DOI]

IEEE Trans. Inf. Theory, 2007

Errata for "The linear programming bound for codes over finite Frobenius rings".

[BibT_eX]

[DOI]

Eimear Byrne

Des. Codes Cryptogr., 2007

The linear programming bound for codes over finite Frobenius rings.

[BibT_eX]

[DOI]

Eimear Byrne

Des. Codes Cryptogr., 2007

A Parallel Architecture for Hermitian Decoders: Satisfying Resource and Throughput Constraints.

[BibT_eX]

[DOI]

Rachit Agarwal

Emanuel M. Popovici

Brendan O'Flynn

Proceedings of the International Symposium on Circuits and Systems (ISCAS 2007), 2007

Extended Norm-Trace Codes with Optimized Correction Capability.

[BibT_eX]

[DOI]

Proceedings of the Applied Algebra, 2007

2006

List Decoding of Hermitian Codes using Groebner Bases

[BibT_eX]

[DOI]

CoRR, 2006

The Order Bound on the Minimum Distance of the One-Point Codes Associated to a Garcia-Stichtenoth Tower of Function Fields

[BibT_eX]

[DOI]

CoRR, 2006

Duality for Several Families of Evaluation Codes

[BibT_eX]

[DOI]

CoRR, 2006

An Interpolation Algorithm using Gröbner Bases for Soft-Decision Decoding of Reed-Solomon Codes.

[BibT_eX]

[DOI]

Proceedings of the Proceedings 2006 IEEE International Symposium on Information Theory, 2006

2005

Versatile architectures for decoding a class of LDPC codes.

[BibT_eX]

[DOI]

Andrew Byrne

Emanuel M. Popovici

Proceedings of the 2005 European Conference on Circuit Theory and Design, 2005

2004

On bounds for codes over Frobenius rings under homogeneous weights.

[BibT_eX]

[DOI]

Discret. Math., 2004

On Koetter's Algorithm and the Computation of Error Values.

[BibT_eX]

[DOI]

Des. Codes Cryptogr., 2004

Construction of good LDPC codes using dilation matrices.

[BibT_eX]

[DOI]

Roxana Smarandache

Proceedings of the 2004 IEEE International Symposium on Information Theory, 2004

2000

Decoding of Hermitian codes: The key equation and efficient error evaluation.

[BibT_eX]

[DOI]