MinT - Information on Result #1213577

Information on Result #1213577

Digital (129, 142, 2796721)-net over F₅, using (u,Â u+v)-construction based on

digital (14, 20, 521)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5²⁰, 521, F₅, 6, 6) (dual of [(521, 6), 3106, 7]-NRT-code), using
  - OA 3-folding and stacking [i] based on linear OA(5²⁰, 1563, F₅, 6) (dual of [1563, 1543, 7]-code), using
    - the BCH-code C(I) with length 1563Â | 5¹⁰âˆ’1, defining interval IÂ =Â {−5,−3,−1,…,5}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
digital (109, 122, 2796200)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5¹²², 2796200, F₅, 14, 13) (dual of [(2796200, 14), 39146678, 14]-NRT-code), using
  - OOA 3-folding and stacking with additional row [i] based on linear OOA(5¹²², 8388601, F₅, 2, 13) (dual of [(8388601, 2), 16777080, 14]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(5¹²², 8388602, F₅, 2, 13) (dual of [(8388602, 2), 16777082, 14]-NRT-code), using
      - trace code [i] based on 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.