MinT - Information on Result #1213514

Information on Result #1213514

Digital (124, 136, 2798804)-net over F₅, using (u,Â u+v)-construction based on

digital (18, 24, 2604)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5²⁴, 2604, F₅, 6, 6) (dual of [(2604, 6), 15600, 7]-NRT-code), using
  - OA 3-folding and stacking [i] based on linear OA(5²⁴, 7812, F₅, 6) (dual of [7812, 7788, 7]-code), using
    - discarding factors / shortening the dual code based on linear OA(5²⁴, 7813, F₅, 6) (dual of [7813, 7789, 7]-code), using
      - the BCH-code C(I) with length 7813Â | 5¹²âˆ’1, defining interval IÂ =Â {−5,−3,−1,…,5}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
digital (100, 112, 2796200)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5¹¹², 2796200, F₅, 14, 12) (dual of [(2796200, 14), 39146688, 13]-NRT-code), using
  - OOA 3-folding and stacking with additional row [i] based on linear OOA(5¹¹², 8388601, F₅, 2, 12) (dual of [(8388601, 2), 16777090, 13]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(5¹¹², 8388602, F₅, 2, 12) (dual of [(8388602, 2), 16777092, 13]-NRT-code), using
      - trace code [i] based on linear OOA(25⁵⁶, 4194301, F₂₅, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
        OOA 2-folding [i] based on linear OA(25⁵⁶, 8388602, F₂₅, 12) (dual of [8388602, 8388546, 13]-code), using
        discarding factors / shortening the dual code based on linear OA(25⁵⁶, large, F₂₅, 12) (dual of [large, large−56, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 25⁵âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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.