Bounds on the minimum distance of additive quantum codes

Bounds on [[119,0]]2

lower bound:20
upper bound:41

Construction

Construction of a [[119,0,20]] quantum code:
[1]:  [[119, 1, 20]] quantum code over GF(2^2)
     cyclic code of length 119 with generating polynomial x^59 + w^2*x^58 + x^57 + w*x^54 + w^2*x^53 + w^2*x^52 + w^2*x^49 + w^2*x^48 + x^47 + w*x^46 + x^43 + w^2*x^40 + x^39 + w^2*x^38 + w*x^37 + x^36 + w*x^35 + w^2*x^31 + w^2*x^30 + w*x^28 + x^27 + x^26 + x^25 + x^24 + x^23 + x^22 + w*x^21 + x^20 + x^19 + x^18 + x^17 + w*x^15 + w*x^14 + w^2*x^13 + w^2*x^12 + w*x^11 + w^2*x^10 + w^2*x^9 + w*x^6 + w*x^5 + x^2 + w^2*x + 1
[2]:  [[119, 0, 20]] self-dual quantum code over GF(2^2)
     Subcode of [1]

    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 1 1 0 1 0 0 1 1 1 0 1 1 1 0 0 0 1 1 1 1 0 0 0 1 1 1 1 0 0 1 1 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 1 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 1 1 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0]
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last modified: 2022-08-01

Notes


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