The existence of optimal quaternary [28,20,6] and quantum [[28,12,6]] codes

Authors

Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

2014

Abstract

The existence of a quantum [[28, 12, 6]] code was one of the few cases for codes of length n ≤ 30 thatwas left open in the seminal paper by Calderbank, Rains, Shor, and Sloane [2]. The main result ofthis paper is the construction of the first optimal linear quaternary [28, 20, 6] code which contains itsHermitian dual code and yields the first optimal quantum [[28, 12, 6]] code

Publisher's Statement

© 2014. Publisher’s version of record: https://dx.doi.org/10.13069/jacodesmath.25090

Publication Title

Journal of Algebra Combinatorics Discrete Structures and Applications

Recommended Citation

Tonchev, V. (2014). The existence of optimal quaternary [28,20,6] and quantum [[28,12,6]] codes. Journal of Algebra Combinatorics Discrete Structures and Applications, 1(1), 13-17. http://doi.org/10.13069/jacodesmath.25090
Retrieved from: https://digitalcommons.mtu.edu/math-fp/85