ON QUANTUM CODES FROM WEAKLY-DUAL FEC CODES BASED ON DIAGONALS ON ARRAYS

Abstract — We present a design technique for binary weakly-dual codes from which we construct quantum error-correction codes (quantum codes) via the CSS technique. The weakly-dual forward error-correction (FEC) codes are based on diago-nals of different slopes on a rectangular η 2 ×η array (type-R array) with η even. Some methods to in-crease the minimum distance of such codes are presented. Index Terms — quantum error correction, weakly-dual codes, LDPC codes 1