MinT - Information on Result #1840741

Information on Result #1840741

(43, 51, 4194300)-net in base 32, using net defined by OOA based on OOA(32⁵¹, 4194300, S₃₂, 10, 8), using

OOA 2-folding and stacking with additional row [i] based on OOA(32⁵¹, 8388601, S₃₂, 2, 8), using
- discarding factors based on OOA(32⁵¹, 8388602, S₃₂, 2, 8), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(32¹⁶, 4194301, F₃₂, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(32¹⁶, 8388602, F₃₂, 4) (dual of [8388602, 8388586, 5]-code), using
        discarding factors / shortening the dual code based on linear OA(32¹⁶, large, F₃₂, 4) (dual of [large, large−16, 5]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 33554431Â = 32⁵âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
    2. OOA(32³⁵, 4194301, S₃₂, 2, 8), using
      - OOA 2-folding [i] based on OA(32³⁵, 8388602, S₃₂, 8), using
        discarding factors based on OA(32³⁵, large, S₃₂, 8), using
        discarding parts of the base [i] based on linear OA(64²⁹, large, F₆₄, 8) (dual of [large, large−29, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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.