Bounds on the minimum distance of additive quantum codes

Bounds on [[110,44]]2

lower bound:12
upper bound:22

Construction

Construction of a [[110,44,12]] quantum code:
[1]:  [[105, 45, 12]] quantum code over GF(2^2)
     constacyclic code generated by x^104 + x^102 + w^2*x^101 + w^2*x^100 + w*x^98 + w*x^96 + x^95 + w^2*x^94 + w*x^93 + w*x^92 + x^90 + w^2*x^89 + x^88 + w^2*x^86 + x^85 + w^2*x^84 + x^83 + w^2*x^82 + w*x^81 + w*x^80 + w^2*x^79 + w^2*x^77 + x^75 + x^13 with shift constant w
[2]:  [[105, 44, 12]] quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[110, 44, 12]] quantum code over GF(2^2)
     ExtendCode [2] by 5

    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 1 0 1 0 1 1 1 0 1 0 1 0 0 1 1 1 0 1 1 0 0 0 0 1 0 0 0 1 1 1 0 0 0 1 0 0 1 0 1 1 1 1 1 1 0 0 0 0 0 0|1 0 1 0 0 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 1 1 0 1 1 1 1 1 0 0 0 0 1 1 0 1 1 1 1 0 0 1 1 1 0 1 0 1 1 0 0 1 0 1 1 0 1 0 1 1 0 1 0 1 0 0 0 0 1 0 0 0 1 1 1 0 1 0 0 1 1 1 0 0 1 0 0 0 1 0 1 0 1 0 0 0 1 0 0 1 1 0 0 0 0 0 0 0 0]
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last modified: 2020-08-21

Notes


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