4 papers
Low-Density Parity-Check Codes of High Girth from Permutation Polynomials
Tasawwar Hussain, Anthony Gómez-Fonseca, Tefjol Pllaha
Quasi-cyclic low-density parity-check (QC-LDPC) codes are widely used in modern communication standards due to their simple structure and efficient encoder and decoder implementati…
Fault-Tolerant QLDPC Syndrome Measurement via LDGM Encoding
Eren Guttentag, Anthony Gómez-Fonseca
We propose the use of certain low-density generator-matrix (LDGM) codes as syndrome measurement (SM) codes for quantum low-density parity check (QLDPC) codes. We use an efficient p…
Combinatorial Analysis of Dyadic and Quasi-Dyadic Codes
Anthony Gómez-Fonseca, Gretchen L. Matthews, Kirsten D. Morris +1
Quantum low-density parity-check (QLDPC) codes offer a promising route to scalable fault-tolerant quantum computation, but their performance under iterative decoding is strongly in…
Necessary and Sufficient Girth Conditions for LDPC Tanner Graphs with Denser Protographs
Anthony Gómez-Fonseca, Roxana Smarandache, David G. M. Mitchell
This paper gives necessary and sufficient conditions for the Tanner graph of a quasi-cyclic (QC) low-density parity-check (LDPC) code based on the all-one protograph to have girth…