Technical Program

Paper Detail

Paper Title Good Stabilizer Codes from Quasi-Cyclic Codes over $\F_4$ and $\F_9$
Paper IdentifierFR3.R6.3
Authors Martianus Frederic Ezerman, San Ling, Buket Özkaya, Nanyang Technological University, Singapore; Patrick Solé, University of Paris 8, France
Session Quantum Stabilizer and Related Codes
Location Sorbonne, Level 5
Session Time Friday, 12 July, 14:30 - 16:10
Presentation Time Friday, 12 July, 15:10 - 15:30
Manuscript  Click here to download the manuscript
Abstract We apply quantum Construction X on quasi-cyclic codes with large Hermitian hulls over $\F_4$ and $\F_9$ to derive good qubit and qutrit stabilizer codes, respectively. In several occasions we obtain quantum codes with stricly improved parameters than the current record. In numerous other occasions we obtain quantum codes with best-known performance. For the qutrit ones we supply a systematic construction to fill some gaps in the literature.