MinT - Information on Result #1842349

Information on Result #1842349

(93, 104, 3420793)-net in base 8, using (u,Â u+v)-construction based on

(17, 22, 65353)-net in base 8, using
- net defined by OOA [i] based on OOA(8²², 65353, S₈, 6, 5), using
  - OOA stacking with additional row [i] based on OOA(8²², 65354, S₈, 2, 5), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(8³, 73, F₈, 2, 2) (dual of [(73, 2), 143, 3]-NRT-code), using
        appending kth column [i] based on linear OA(8³, 73, F₈, 2) (dual of [73, 70, 3]-code), using
        Hamming code H(3,8) [i]
      2. OOA(8¹⁹, 65281, S₈, 2, 5), using
        OOA 2-folding [i] based on OA(8¹⁹, 130562, S₈, 5), using
        discarding parts of the base [i] based on linear OA(16¹⁴, 130562, F₁₆, 5) (dual of [130562, 130548, 6]-code), using
        trace code [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
digital (71, 82, 3355440)-net over F₈, using
- trace code for nets [i] based on digital (30, 41, 1677720)-net over F₆₄, using
  - net defined by OOA [i] based on linear OOA(64⁴¹, 1677720, F₆₄, 11, 11) (dual of [(1677720, 11), 18454879, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(64⁴¹, 8388601, F₆₄, 11) (dual of [8388601, 8388560, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(64⁴¹, large, F₆₄, 11) (dual of [large, large−41, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (BCH-bound) [i]

Mode: Constructive.

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.