Bounds on the minimum distance of additive quantum codes

Bounds on [[105,72]]2

lower bound:7
upper bound:10

Construction

Construction type: LvLiWang

Construction of a [[105,72,7]] quantum code:
[1]:  [[105, 72, 7]] quantum code over GF(2^2)
     cyclic code of length 105 with generating polynomial w^2*x^104 + x^102 + w^2*x^101 + w*x^99 + x^98 + w*x^97 + w^2*x^94 + x^93 + w^2*x^91 + x^90 + w^2*x^89 + w^2*x^88 + x^87 + x^86 + w^2*x^84 + w^2*x^83 + w^2*x^82 + x^80 + x^79 + w*x^78 + w*x^77 + x^76 + w^2*x^75 + w*x^74 + w*x^73 + w^2*x^72 + x^71 + w*x^68 + w*x^65 + w^2*x^64 + x^63 + x^61 + w*x^60 + w^2*x^59 + w^2*x^57 + w*x^56 + x^55 + w*x^54 + w^2*x^52 + x^50 + w^2*x^48 + x^47 + w^2*x^45 + w^2*x^42 + x^41 + w*x^40 + x^39 + w^2*x^37 + w*x^36 + x^35 + w*x^31 + x^29 + w^2*x^27 + w*x^26 + w*x^24 + x^23 + x^22 + w^2*x^21 + w^2*x^19 + w^2*x^18 + w*x^17 + w*x^16 + x^15 + x^13 + w*x^11 + w^2*x^10 + x^8 + x^6 + w^2*x^5 + w*x^4 + w*x^3 + x^2 + w^2*x + w

    stabilizer matrix:

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last modified: 2020-09-17

Notes


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