MinT - Information on Result #1205357

Information on Result #1205357

Digital (121, 134, 2796216)-net over F₅, using trace code for nets based on digital (54, 67, 1398108)-net over F₂₅, using

net defined by OOA [i] based on linear OOA(25⁶⁷, 1398108, F₂₅, 14, 13) (dual of [(1398108, 14), 19573445, 14]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(25⁶⁷, 4194325, F₂₅, 2, 13) (dual of [(4194325, 2), 8388583, 14]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(25⁶⁷, 4194327, F₂₅, 2, 13) (dual of [(4194327, 2), 8388587, 14]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(25⁶, 26, F₂₅, 2, 6) (dual of [(26, 2), 46, 7]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;46,25) [i]
      2. linear OOA(25⁶¹, 4194301, F₂₅, 2, 13) (dual of [(4194301, 2), 8388541, 14]-NRT-code), using
        OOA 2-folding [i] based on linear OA(25⁶¹, 8388602, F₂₅, 13) (dual of [8388602, 8388541, 14]-code), using
        discarding factors / shortening the dual code based on linear OA(25⁶¹, large, F₂₅, 13) (dual of [large, large−61, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (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.