MinT - Information on Result #1190116

Information on Result #1190116

Digital (88, 98, 2796207)-net over F₇, using net defined by OOA based on linear OOA(7⁹⁸, 2796207, F₇, 15, 10) (dual of [(2796207, 15), 41943007, 11]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(7⁹⁸, 5592415, F₇, 3, 10) (dual of [(5592415, 3), 16777147, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(7⁶, 13, F₇, 3, 5) (dual of [(13, 3), 33, 6]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 6, 13)-net over F₇, using
      - 7 times m-reduction [i] based on digital (1, 13, 13)-net over F₇, using
        a shift-net [i]
  2. linear OOA(7⁹², 5592402, F₇, 3, 10) (dual of [(5592402, 3), 16777114, 11]-NRT-code), using
    - trace code [i] based on linear OOA(49⁴⁶, 2796201, F₄₉, 3, 10) (dual of [(2796201, 3), 8388557, 11]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(49⁴⁶, large, F₄₉, 10) (dual of [large, large−46, 11]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 25679568Â | 49⁵âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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.