5 papers · 1 filter
Permutation decoding of algebraic geometry codes from Hermitian and norm-trace curves
Monica Lichtenwalner, Hiram H. López, Gretchen L. Matthews +1
Permutation decoding is a process that utilizes the permutation automorphism group of a linear code to correct errors in received words. Given a received word, a set of automorphis…
New Qutrit Codes from Pure and Bordered Multidimensional Circulant Construction
Padmapani Seneviratne, Hannah Cuff, Alexandra Koletsos +2
We use multidimensional circulant approach to construct new qutrit stabilizer $\dsb{\ell, 0, d}$ codes with parameters $(\ell, d) \in \{(51, 16), (52, 16), (54, 17), (55, 17), (57,…
New Qubit Codes from Multidimensional Circulant Graphs
Padmapani Seneviratne, Hannah Cuff, Alexandra Koletsos +2
Two new qubit stabilizer codes with parameters and are constructed for the first time by employing additive symplectic self-dual $\F_4$ codes from m…
Two New Zero-Dimensional Qubit Codes from Bordered Metacirculant Construction
Padmapani Seneviratne, Martianus Frederic Ezerman
We construct qubit stabilizer codes with parameters and for the first time. We use symplectic self-dual additive codes over built by…
Improved Quantum Codes from Metacirculant Graphs via Self-Dual Additive -Codes
Padmapani Seneviratne, Martianus Frederic Ezerman
We use symplectic self-dual additive codes over obtained from metacirculant graphs to construct, for the first time, qubit codes with parameters $(…