MinT - Information on Result #1193374

Information on Result #1193374

Digital (81, 91, 2799486)-net over F₉, using net defined by OOA based on linear OOA(9⁹¹, 2799486, F₉, 15, 10) (dual of [(2799486, 15), 41992199, 11]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(9⁹¹, 5598973, F₉, 3, 10) (dual of [(5598973, 3), 16796828, 11]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(9¹⁷, 6571, F₉, 3, 5) (dual of [(6571, 3), 19696, 6]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(9¹⁷, 6572, F₉, 2, 5) (dual of [(6572, 2), 13127, 6]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(9³, 91, F₉, 2, 2) (dual of [(91, 2), 179, 3]-NRT-code), using
        appending kth column [i] based on linear OA(9³, 91, F₉, 2) (dual of [91, 88, 3]-code), using
        Hamming code H(3,9) [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(9⁷⁴, 5592402, F₉, 3, 10) (dual of [(5592402, 3), 16777132, 11]-NRT-code), using
    - trace code [i] based on linear OOA(81³⁷, 2796201, F₈₁, 3, 10) (dual of [(2796201, 3), 8388566, 11]-NRT-code), using
      - OOA 3-folding [i] based on linear OA(81³⁷, large, F₈₁, 10) (dual of [large, large−37, 11]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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.