MinT - Information on Result #1198970

Information on Result #1198970

Digital (38, 47, 2097398)-net over F₃₂, using net defined by OOA based on linear OOA(32⁴⁷, 2097398, F₃₂, 10, 9) (dual of [(2097398, 10), 20973933, 10]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(32⁴⁷, 4194797, F₃₂, 2, 9) (dual of [(4194797, 2), 8389547, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(32⁶, 496, F₃₂, 2, 4) (dual of [(496, 2), 986, 5]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(32⁶, 992, F₃₂, 4) (dual of [992, 986, 5]-code), using
      - 1 times truncation [i] based on linear OA(32⁷, 993, F₃₂, 5) (dual of [993, 986, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(32⁴¹, 4194301, F₃₂, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(32⁴¹, 8388602, F₃₂, 9) (dual of [8388602, 8388561, 10]-code), using
      - discarding factors / shortening the dual code based on linear OA(32⁴¹, large, F₃₂, 9) (dual of [large, large−41, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 33554433Â | 32¹⁰âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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.