MinT - Information on Result #1182048

Information on Result #1182048

Digital (233, 254, 838872)-net over F₂, using net defined by OOA based on linear OOA(2²⁵⁴, 838872, F₂, 25, 21) (dual of [(838872, 25), 20971546, 22]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(2²⁵⁴, 1677745, F₂, 5, 21) (dual of [(1677745, 5), 8388471, 22]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²³, 25, F₂, 5, 10) (dual of [(25, 5), 102, 11]-NRT-code), using
    - extracting embedded OOA [i] based on digital (13, 23, 25)-net over F₂, using
      - 2 times m-reduction [i] based on digital (13, 25, 25)-net over F₂, using
        a shift-net [i]
  2. linear OOA(2²³¹, 1677720, F₂, 5, 21) (dual of [(1677720, 5), 8388369, 22]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(2²³¹, 8388600, F₂, 21) (dual of [8388600, 8388369, 22]-code), using
      - discarding factors / shortening the dual code based on linear OA(2²³¹, large, F₂, 21) (dual of [large, large−231, 22]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 8388609Â | 2⁴⁶âˆ’1, defining interval IÂ =Â [0,10], and minimum distance dÂ â‰¥ |{−10,−9,…,10}|+1Â =Â 22 (BCH-bound) [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.