Bounds on the minimum distance of additive quantum codes

Bounds on [[89,0]]2

lower bound:21
upper bound:31

Construction

Construction type: Grassl

Construction of a [[89,0,21]] quantum code:
[1]:  [[89, 0, 21]] self-dual quantum code over GF(2^2)
     cyclic code of length 89 with generating polynomial x^87 + x^86 + x^83 + x^80 + x^76 + x^75 + x^72 + x^71 + x^69 + x^67 + x^65 + x^64 + x^60 + x^58 + x^56 + x^55 + x^53 + x^51 + x^50 + x^45 + x^44 + x^39 + x^38 + x^36 + x^34 + x^33 + x^31 + x^29 + x^25 + x^24 + x^22 + x^20 + x^18 + x^17 + x^14 + x^13 + x^9 + x^6 + x^3 + x^2 + w

    stabilizer matrix:

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last modified: 2015-06-23

Notes


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