MinT - Information on Result #1068597

Information on Result #1068597

Linear OOA(81³⁹, 2098770, F₈₁, 4, 9) (dual of [(2098770, 4), 8395041, 10]-NRT-code), using OOA 2-folding based on linear OOA(81³⁹, 4197540, F₈₁, 2, 9) (dual of [(4197540, 2), 8395041, 10]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(81³⁹, 4197541, F₈₁, 2, 9) (dual of [(4197541, 2), 8395043, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(81⁶, 3240, F₈₁, 2, 4) (dual of [(3240, 2), 6474, 5]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(81⁶, 6480, F₈₁, 4) (dual of [6480, 6474, 5]-code), using
      - 1 times truncation [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
  2. 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.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.