MinT - Information on Result #1198726

Information on Result #1198726

Digital (15, 19, 4195357)-net over F₃₂, using net defined by OOA based on linear OOA(32¹⁹, 4195357, F₃₂, 6, 4) (dual of [(4195357, 6), 25172123, 5]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(32¹⁹, 4195358, F₃₂, 2, 4) (dual of [(4195358, 2), 8390697, 5]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(32³, 1057, F₃₂, 2, 2) (dual of [(1057, 2), 2111, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(32³, 1057, F₃₂, 2) (dual of [1057, 1054, 3]-code), using
      - Hamming code H(3,32) [i]
  2. 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]

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.