MinT - Information on Result #1213447

Information on Result #1213447

Digital (114, 125, 3359345)-net over F₅, using (u,Â u+v)-construction based on

digital (18, 23, 3905)-net over F₅, using
- net defined by OOA [i] based on linear OOA(5²³, 3905, F₅, 5, 5) (dual of [(3905, 5), 19502, 6]-NRT-code), using
  - OOA 2-folding and stacking with additional row [i] based on linear OA(5²³, 7811, F₅, 5) (dual of [7811, 7788, 6]-code), using
    - discarding factors / shortening the dual code based on linear OA(5²³, 7812, F₅, 5) (dual of [7812, 7789, 6]-code), using
      - 1 times truncation [i] 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 (91, 102, 3355440)-net over F₅, using
- trace code for nets [i] based on digital (40, 51, 1677720)-net over F₂₅, using
  - net defined by OOA [i] based on linear OOA(25⁵¹, 1677720, F₂₅, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(25⁵¹, 8388601, F₂₅, 11) (dual of [8388601, 8388550, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(25⁵¹, large, F₂₅, 11) (dual of [large, large−51, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 9765626Â | 25¹⁰âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (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.