Bounds on the minimum distance of additive quantum codes

Bounds on [[79,1]]2

lower bound:19
upper bound:27

Construction

Construction of a [[79,1,19]] quantum code:
[1]:  [[80, 0, 20]] self-dual quantum code over GF(2^2)
     QuasiCyclicCode of length 80 with generating polynomials: 1,  w*x^36 + w^2*x^35 + x^34 + w*x^33 + x^32 + x^30 + w*x^29 + x^28 + w*x^27 + w^2*x^25 + w*x^24 + w*x^23 + w*x^21 + w*x^20 + x^19 + x^18 + w^2*x^17 + x^16 + x^15 + x^14 + w^2*x^13 + w*x^12 + w*x^11 + x^9 + x^5 + w*x^4 + x^3 + x + w
[2]:  [[79, 1, 19]] quantum code over GF(2^2)
     Shortening of the stabilizer code of [1] at { 80 }

    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 0 0 0 0 0 0 0 1 0 0 1 1 0|0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 1 0 1 1 1 1 1 0 1 1 0 0 0 1 0 0 1 1 0 0 1 0 1 0 1 1 1 1 0 1 1 1 1 0 0 0 0 1 1 0 0 0 1 1 0 0 1 0 1]
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last modified: 2011-07-04

Notes


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