The existence of optimal quaternary [ 28 , 20 , 6 ] and quantum [
نویسنده
چکیده
The existence of a quantum [[28, 12, 6]] code was one of the few cases for codes of length n ≤ 30 that was left open in the seminal paper by Calderbank, Rains, Shor, and Sloane [2]. The main result of this paper is the construction of the first optimal linear quaternary [28, 20, 6] code which contains its Hermitian dual code and yields the first optimal quantum [[28, 12, 6]] code. 2010 MSC: 94B05, 94B65, 81-99
منابع مشابه
A doubling construction for self-orthogonal codes
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.
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تاریخ انتشار 2015