MinT - Information on Result #1010561

Information on Result #1010561

Linear OOA(3¹⁴⁵, 5592519, F₃, 3, 10) (dual of [(5592519, 3), 16777412, 11]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(3¹⁵, 117, F₃, 3, 5) (dual of [(117, 3), 336, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁴, 40, F₃, 3, 2) (dual of [(40, 3), 116, 3]-NRT-code), using
    - appending 1 arbitrary column [i] based on linear OOA(3⁴, 40, F₃, 2, 2) (dual of [(40, 2), 76, 3]-NRT-code), using
      - appending kth column [i] based on linear OA(3⁴, 40, F₃, 2) (dual of [40, 36, 3]-code), using
        Hamming code H(4,3) [i]
  2. linear OOA(3¹¹, 77, F₃, 3, 5) (dual of [(77, 3), 220, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (6, 11, 77)-net over F₃, using
      - linear code embedding found in a computer search [i]
linear OOA(3¹³⁰, 5592402, F₃, 3, 10) (dual of [(5592402, 3), 16777076, 11]-NRT-code), using
- trace code [i] based on linear OOA(9⁶⁵, 2796201, F₉, 3, 10) (dual of [(2796201, 3), 8388538, 11]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(9⁶⁵, large, F₉, 10) (dual of [large, large−65, 11]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 9⁸âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [i]

Mode: Constructive and linear.

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