Bounds on the minimum distance of additive quantum codes

Bounds on [[112,29]]2

lower bound:15
upper bound:28

Construction

Construction of a [[112,29,15]] quantum code:
[1]:  [[113, 29, 16]] quantum code over GF(2^2)
     cyclic code of length 113 with generating polynomial x^42 + w*x^41 + w*x^40 + x^38 + w*x^35 + x^33 + x^32 + x^31 + x^30 + w^2*x^29 + w^2*x^28 + x^27 + x^26 + x^25 + w*x^24 + w*x^23 + x^22 + x^21 + x^20 + w*x^19 + w*x^18 + x^17 + x^16 + x^15 + w^2*x^14 + w^2*x^13 + x^12 + x^11 + x^10 + x^9 + w*x^7 + x^4 + w*x^2 + w*x + 1
[2]:  [[112, 29, 15]] quantum code over GF(2^2)
     Puncturing of [1] at { 113 }

    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 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 1 0 0 1 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 0 1 0 0|1 1 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 0 0 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 1 0 1 1 0 0 1 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 0 0 1 0 0 1 1 1 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 0]
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last modified: 2022-08-02

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