Bounds on the minimum distance of additive quantum codes

Bounds on [[111,19]]2

lower bound:18
upper bound:31

Construction

Construction of a [[111,19,18]] quantum code:
[1]:  [[105, 21, 18]] quantum code over GF(2^2)
     constacyclic code generated by x^42 + x^41 + w*x^40 + w^2*x^39 + w*x^38 + w^2*x^36 + w*x^33 + w^2*x^32 + x^30 + w*x^29 + x^28 + x^26 + w*x^24 + w^2*x^23 + w*x^22 + w*x^21 + x^20 + x^19 + w^2*x^18 + w*x^17 + w*x^16 + x^15 + w*x^14 + w*x^12 + x^11 + w^2*x^10 + x^9 + w^2*x^8 + x^7 + w^2*x^4 + x^2 + x + w with shift constant w
[2]:  [[105, 19, 18]] quantum code over GF(2^2)
     Subcode of [1]
[3]:  [[111, 19, 18]] quantum code over GF(2^2)
     ExtendCode [2] by 6

    stabilizer matrix:

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last modified: 2020-08-31

Notes


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