MinT - Information on Result #1191262

Information on Result #1191262

Digital (54, 63, 2097164)-net over F₈, using net defined by OOA based on linear OOA(8⁶³, 2097164, F₈, 10, 9) (dual of [(2097164, 10), 20971577, 10]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(8⁶³, 4194329, F₈, 2, 9) (dual of [(4194329, 2), 8388595, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(8⁶, 28, F₈, 2, 4) (dual of [(28, 2), 50, 5]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(8⁶, 56, F₈, 4) (dual of [56, 50, 5]-code), using
      - 1 times truncation [i] based on linear OA(8⁷, 57, F₈, 5) (dual of [57, 50, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(8⁵⁷, 4194301, F₈, 2, 9) (dual of [(4194301, 2), 8388545, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(8⁵⁷, 8388602, F₈, 9) (dual of [8388602, 8388545, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(8⁵⁷, large, F₈, 9) (dual of [large, large−57, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 8⁸âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.