MinT - Information on Result #1824269

Information on Result #1824269

(82, 96, 2396742)-net in base 32, using base change based on digital (66, 80, 2396742)-net over F₆₄, using

64² times duplication [i] based on digital (64, 78, 2396742)-net over F₆₄, using
- (u,Â u+v)-construction [i] based on
  1. digital (18, 25, 2796200)-net over F₆₄, using
    - net defined by OOA [i] based on linear OOA(64²⁵, 2796200, F₆₄, 7, 7) (dual of [(2796200, 7), 19573375, 8]-NRT-code), using
      - OOA 3-folding and stacking with additional row [i] based on linear OA(64²⁵, 8388601, F₆₄, 7) (dual of [8388601, 8388576, 8]-code), using
        discarding factors / shortening the dual code based on linear OA(64²⁵, large, F₆₄, 7) (dual of [large, large−25, 8]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [i]
  2. digital (39, 53, 1198371)-net over F₆₄, using
    - net defined by OOA [i] based on linear OOA(64⁵³, 1198371, F₆₄, 14, 14) (dual of [(1198371, 14), 16777141, 15]-NRT-code), using
      - OA 7-folding and stacking [i] based on linear OA(64⁵³, 8388597, F₆₄, 14) (dual of [8388597, 8388544, 15]-code), using
        discarding factors / shortening the dual code based on linear OA(64⁵³, large, F₆₄, 14) (dual of [large, large−53, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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.