MinT - Information on Result #904294

Information on Result #904294

Linear OOA(81⁴², 4200781, F₈₁, 2, 9) (dual of [(4200781, 2), 8401520, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(81⁹, 6480, F₈₁, 2, 4) (dual of [(6480, 2), 12951, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(81⁹, 12960, F₈₁, 4) (dual of [12960, 12951, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(81⁹, 12961, F₈₁, 4) (dual of [12961, 12952, 5]-code), using
    - 1 times truncation [i] based on linear OA(81¹⁰, 12962, F₈₁, 5) (dual of [12962, 12952, 6]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(81³, 6481, F₈₁, 2) (dual of [6481, 6478, 3]-code), using
        discarding factors / shortening the dual code based on linear OA(81³, 6643, F₈₁, 2) (dual of [6643, 6640, 3]-code), using
        Hamming code H(3,81) [i]
        linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
linear OOA(81³³, 4194301, F₈₁, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(81³³, 8388602, F₈₁, 9) (dual of [8388602, 8388569, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(81³³, large, F₈₁, 9) (dual of [large, large−33, 10]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

Mode: Constructive and linear.

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