Bounds on the minimum distance of additive quantum codes

Bounds on [[99,0]]2

lower bound:21
upper bound:50

Construction

Construction type: Grassl

Construction of a [[99,0,21]] quantum code:
[1]:  [[100, 0, 22]] self-dual quantum code over GF(2^2)
     QuasiCyclicCode of length 100 with generating polynomials: x^33,  w*x^49 + w*x^48 + x^47 + w^2*x^46 + w*x^45 + x^44 + x^43 + w*x^42 + w^2*x^41 + x^39 + w^2*x^37 + x^36 + w*x^35 + w^2*x^34 + w^2*x^33 + x^32 + w^2*x^31 + w^2*x^30 + x^28 + w^2*x^27 + w^2*x^26 + w*x^24 + x^21 + x^20 + w*x^19 + w*x^18 + w*x^17 + x^16 + w*x^15 + w^2*x^14 + x^13 + x^12 + x^11 + x^10 + w*x^9 + x^8 + w^2*x^7 + x^6 + w*x^5 + w*x^4 + w*x^3 + w^2*x + 1
[2]:  [[99, 1, 21]] quantum code over GF(2^2)
     Shortening of the stabilizer code of [1] at 100
[3]:  [[99, 0, 21]] self-dual quantum code over GF(2^2)
     Subcode of [2]

    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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1|0 0 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 1 1 1 1 0 1 1 1 0 0 1 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 1 1 0 0 0 1 0 1 0 1 1 0 1 0 0 0 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 0 1 1 0 1 0 0 0 0 1 0 0 1 0 1 1 0 0]
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last modified: 2016-07-14

Notes


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