Bounds on the minimum distance of additive quantum codes

Bounds on [[79,40]]2

lower bound:9
upper bound:13

Construction

Construction type: DastbastehLisonek

Construction of a [[79,40,9]] quantum code:
[1]:  [[79, 40, 9]] quantum code over GF(2^2)
     cyclic code of length 79 with generating polynomial x^78 + x^77 + x^75 + w*x^74 + w^2*x^72 + w*x^71 + w^2*x^70 + x^69 + w*x^68 + x^65 + w^2*x^63 + w^2*x^62 + w*x^59 + x^58 + w*x^57 + x^56 + x^55 + x^54 + x^53 + w^2*x^52 + w*x^51 + w*x^50 + x^48 + w*x^47 + w^2*x^45 + w*x^43 + w^2*x^42 + w^2*x^41 + x^40 + w*x^39 + x^38 + x^36 + w*x^35 + w^2*x^32 + x^31 + w^2*x^30 + w^2*x^29 + x^27 + x^26 + w*x^24 + x^23 + w^2*x^22 + w*x^21 + w*x^20 + w^2*x^18 + w^2*x^17 + w*x^15 + w^2*x^14 + w*x^12 + w*x^11 + x^10 + x^9 + x^8 + w*x^6 + x^5 + w^2*x^4 + x^3 + x^2 + w*x + w

    stabilizer matrix:

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last modified: 2020-08-24

Notes


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