MinT - Information on Result #1840765

Information on Result #1840765

(37, 46, 2097398)-net in base 32, using net defined by OOA based on OOA(32⁴⁶, 2097398, S₃₂, 10, 9), using

OOA 2-folding and stacking with additional row [i] based on OOA(32⁴⁶, 4194797, S₃₂, 2, 9), 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. OOA(32⁴⁰, 4194301, S₃₂, 2, 9), using
    - OOA 2-folding [i] based on OA(32⁴⁰, 8388602, S₃₂, 9), using
      - discarding factors based on OA(32⁴⁰, large, S₃₂, 9), using
        discarding parts of the base [i] based on linear OA(64³³, large, F₆₄, 9) (dual of [large, large−33, 10]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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.