A doubling construction for self-orthogonal codes
Abstract
A simple construction of quaternary hermitian self-orthogonal codes with parameters $[2n+1,k+1]$ and $[2n+2,k+2]$ from a given pair of self-orthogonal $[n,k]$ codes, and its link to quantum codes is considered. As an application, an optimal quaternary linear $[28,20,6]$ dual containing code is found that yields a new optimal $[[28,12,6]]$ quantum code.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2013
- DOI:
- 10.48550/arXiv.1311.2549
- arXiv:
- arXiv:1311.2549
- Bibcode:
- 2013arXiv1311.2549T
- Keywords:
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- Computer Science - Information Theory;
- 94B
- E-Print:
- 7 pages