Bounds on the minimum distance of additive quantum codes

Bounds on [[70,0]]2

lower bound:18
upper bound:24

Construction

Construction type: Grassl

Construction of a [[70,0,18]] quantum code:
[1]:  [[70, 0, 18]] self-dual quantum code over GF(2^2)
     cyclic code of length 70 with generating polynomial x^69 + x^65 + x^64 + x^63 + x^60 + x^59 + x^58 + x^57 + x^56 + x^54 + x^52 + x^51 + x^50 + x^49 + x^48 + x^47 + x^43 + x^42 + x^41 + x^39 + x^38 + x^36 + x^35 + x^34 + x^32 + x^31 + x^29 + x^28 + x^27 + x^23 + x^22 + x^21 + x^20 + x^19 + x^18 + x^16 + x^14 + x^13 + x^12 + x^11 + x^10 + x^7 + x^6 + x^5 + x + w

    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 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1 1]
      [0 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|1 0 1 1 0 1 1 0 1 1 0 0 0 0 1 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 1 0 1 0 0 0 0 1 1 0 1 1 0 1]
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last modified: 2011-06-21

Notes


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