MinT - Information on Result #1213235

Information on Result #1213235

Digital (79, 87, 4195081)-net over F₅, using (u,Â u+v)-construction based on

digital (11, 15, 781)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5¹⁵, 781, F₅, 4, 4) (dual of [(781, 4), 3109, 5]-NRT-code), using
  - appending kth column [i] based on linear OOA(5¹⁵, 781, F₅, 3, 4) (dual of [(781, 3), 2328, 5]-NRT-code), using
    - OA 2-folding and stacking [i] based on linear OA(5¹⁵, 1562, F₅, 4) (dual of [1562, 1547, 5]-code), using
      - the BCH-code C(I) with length 1562Â | 5⁵âˆ’1, defining interval IÂ =Â {25,38,51,64}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
digital (64, 72, 4194300)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5⁷², 4194300, F₅, 10, 8) (dual of [(4194300, 10), 41942928, 9]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OOA(5⁷², 8388601, F₅, 2, 8) (dual of [(8388601, 2), 16777130, 9]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(5⁷², 8388602, F₅, 2, 8) (dual of [(8388602, 2), 16777132, 9]-NRT-code), using
      - trace code [i] based on linear OOA(25³⁶, 4194301, F₂₅, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
        OOA 2-folding [i] based on linear OA(25³⁶, 8388602, F₂₅, 8) (dual of [8388602, 8388566, 9]-code), using
        discarding factors / shortening the dual code based on linear OA(25³⁶, large, F₂₅, 8) (dual of [large, large−36, 9]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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.