MinT - Information on Result #1193474

Information on Result #1193474

Digital (85, 96, 2799440)-net over F₉, using net defined by OOA based on linear OOA(9⁹⁶, 2799440, F₉, 15, 11) (dual of [(2799440, 15), 41991504, 12]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(9⁹⁶, 5598881, F₉, 3, 11) (dual of [(5598881, 3), 16796547, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9⁹⁶, 5598882, F₉, 3, 11) (dual of [(5598882, 3), 16796550, 12]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(9¹⁴, 6480, F₉, 3, 5) (dual of [(6480, 3), 19426, 6]-NRT-code), using
      - OOA 2-folding and stacking with additional row [i] based on linear OA(9¹⁴, 12961, F₉, 5) (dual of [12961, 12947, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(9¹⁴, 12962, F₉, 5) (dual of [12962, 12948, 6]-code), using
        trace code [i] based on linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
        a code by Danev and Olsson [i]
    2. linear OOA(9⁸², 5592402, F₉, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
      - trace code [i] based on linear OOA(81⁴¹, 2796201, F₈₁, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
        OOA 3-folding [i] based on linear OA(81⁴¹, large, F₈₁, 11) (dual of [large, large−41, 12]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’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.