Bounds on the minimum distance of additive quantum codes

Bounds on [[79,9]]2

lower bound:15
upper bound:24

Construction

Construction of a [[79,9,15]] quantum code:
[1]:  [[75, 9, 15]] quantum code over GF(2^2)
     cyclic code of length 75 with generating polynomial w^2*x^74 + w^2*x^73 + w^2*x^72 + w^2*x^71 + w*x^70 + x^69 + w*x^68 + w*x^67 + w^2*x^65 + w^2*x^64 + w*x^63 + w*x^62 + x^61 + w^2*x^59 + w^2*x^58 + x^57 + w*x^55 + w^2*x^54 + x^53 + w^2*x^52 + w*x^51 + x^50 + x^48 + x^47 + w*x^46 + x^43 + w^2*x^41 + x^39 + x^36 + w^2*x^35 + x^33 + 1
[2]:  [[79, 9, 15]] quantum code over GF(2^2)
     ExtendCode [1] by 4

    stabilizer matrix:

      [1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 0 0 1 0 0 0 0|1 1 1 0 1 1 0 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 0 1 1 1 0 0 0 1 1 1 1 0 0 1 1 1 1 0 1 0 0 1 1 0 1 1 0 1 0 1 0 0 0 0 1 1 1 0 1 1 1 0 1 1 0 0 0 1 1 0 0 1 1 0 0 0 0]
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last modified: 2008-02-16

Notes


This page is maintained by Markus Grassl (codes@codetables.de). Last change: 23.10.2014