MinT - Information on Result #1193484

Information on Result #1193484

Digital (90, 101, 2802681)-net over F₉, using net defined by OOA based on linear OOA(9¹⁰¹, 2802681, F₉, 15, 11) (dual of [(2802681, 15), 42040114, 12]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(9¹⁰¹, 5605363, F₉, 3, 11) (dual of [(5605363, 3), 16815988, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(9¹⁹, 12961, F₉, 3, 5) (dual of [(12961, 3), 38864, 6]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(9¹⁹, 12962, F₉, 2, 5) (dual of [(12962, 2), 25905, 6]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(9⁵, 7381, F₉, 2, 2) (dual of [(7381, 2), 14757, 3]-NRT-code), using
        appending kth column [i] based on linear OA(9⁵, 7381, F₉, 2) (dual of [7381, 7376, 3]-code), using
        Hamming code H(5,9) [i]
        linear OOA(9¹⁴, 6481, F₉, 2, 5) (dual of [(6481, 2), 12948, 6]-NRT-code), using
        OOA 2-folding [i] 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.