MinT - Information on Result #906176

Information on Result #906176

Linear OOA(3⁶³, 43, F₃, 2, 29) (dual of [(43, 2), 23, 30]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3¹⁴, 14, F₃, 2, 9) (dual of [(14, 2), 14, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴, 15, F₃, 2, 9) (dual of [(15, 2), 16, 10]-NRT-code), using
  - extracting embedded OOA [i] based on digital (5, 14, 15)-net over F₃, using
    - linear code embedding found in a computer search [i]
linear OOA(3²⁰, 14, F₃, 2, 14) (dual of [(14, 2), 8, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3²⁰, 28, F₃, 14) (dual of [28, 8, 15]-code), using
  - contraction [i] based on linear OA(3⁴⁸, 56, F₃, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56Â | 3⁶âˆ’1, defining interval IÂ =Â {0,1,…,28}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 30 [i]
linear OOA(3²⁹, 15, F₃, 2, 29) (dual of [(15, 2), 1, 30]-NRT-code), using
- dual of repetition NRT-code with length 15 [i]

Mode: Constructive and linear.

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