Bounds on the minimum distance of additive quantum codes

Bounds on [[71,0]]2

lower bound:18
upper bound:25

Construction

Construction type: Grassl

Construction of a [[71,0,18]] quantum code:
[1]:  [[71, 0, 18]] self-dual quantum code over GF(2^2)
     cyclic code of length 71 with generating polynomial x^70 + x^69 + x^67 + x^61 + x^60 + x^57 + x^55 + x^52 + x^49 + x^46 + x^45 + x^44 + x^41 + x^38 + x^37 + x^34 + x^33 + x^30 + x^27 + x^26 + x^25 + x^22 + x^19 + x^16 + x^14 + x^11 + x^10 + x^4 + x^2 + x + w

    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 1|0 1 0 0 0 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 0 0 1 0 1 1 1 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 1 1 1 0 1 0 0 0 0 1 0 1 1 0 0 0 1 0 1 0 0 1 1 0 0 0 1 0]
      [0 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 1|0 1 1 0 0 1 0 1 0 1 1 1 1 0 0 1 0 1 1 1 0 0 0 1 1 1 0 0 1 1 1 0 0 1 1 1 1 1 1 0 0 1 1 1 0 0 1 1 1 0 0 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 1 0 0 1 1]
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last modified: 2011-06-19

Notes


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