MinT - Information on Result #1068566

Information on Result #1068566

Linear OOA(81³⁵, 2098770, F₈₁, 4, 8) (dual of [(2098770, 4), 8395045, 9]-NRT-code), using OOA 2-folding based on linear OOA(81³⁵, 4197540, F₈₁, 2, 8) (dual of [(4197540, 2), 8395045, 9]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(81³⁵, 4197541, F₈₁, 2, 8) (dual of [(4197541, 2), 8395047, 9]-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(81²⁹, 4194301, F₈₁, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(81²⁹, 8388602, F₈₁, 8) (dual of [8388602, 8388573, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(81²⁹, large, F₈₁, 8) (dual of [large, large−29, 9]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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.