MinT - Information on Result #1188716

Information on Result #1188716

Digital (99, 111, 1398360)-net over F₅, using net defined by OOA based on linear OOA(5¹¹¹, 1398360, F₅, 14, 12) (dual of [(1398360, 14), 19576929, 13]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(5¹¹¹, 4195081, F₅, 2, 12) (dual of [(4195081, 2), 8390051, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5¹¹¹, 4195082, F₅, 2, 12) (dual of [(4195082, 2), 8390053, 13]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(5²⁰, 781, F₅, 2, 6) (dual of [(781, 2), 1542, 7]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(5²⁰, 1562, F₅, 6) (dual of [1562, 1542, 7]-code), using
        discarding factors / shortening the dual code 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]
    2. linear OOA(5⁹¹, 4194301, F₅, 2, 12) (dual of [(4194301, 2), 8388511, 13]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(5⁹¹, 8388602, F₅, 12) (dual of [8388602, 8388511, 13]-code), using
        discarding factors / shortening the dual code based on linear OA(5⁹¹, large, F₅, 12) (dual of [large, large−91, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’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.