MinT - Information on Result #896124

Information on Result #896124

Linear OOA(5⁹³, 4194378, F₅, 2, 11) (dual of [(4194378, 2), 8388663, 12]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(5¹², 77, F₅, 2, 5) (dual of [(77, 2), 142, 6]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(5³, 31, F₅, 2, 2) (dual of [(31, 2), 59, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(5³, 31, F₅, 2) (dual of [31, 28, 3]-code), using
      - Hamming code H(3,5) [i]
  2. linear OOA(5⁹, 46, F₅, 2, 5) (dual of [(46, 2), 83, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (4, 9, 46)-net over F₅, using
      - linear code embedding found in a computer search [i]
linear OOA(5⁸¹, 4194301, F₅, 2, 11) (dual of [(4194301, 2), 8388521, 12]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5⁸¹, 8388602, F₅, 11) (dual of [8388602, 8388521, 12]-code), using
  - discarding factors / shortening the dual code based on linear OA(5⁸¹, large, F₅, 11) (dual of [large, large−81, 12]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 5²⁰âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]

Mode: Constructive and linear.

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