MinT - Information on Result #1214528

Information on Result #1214528

Digital (88, 99, 2308329)-net over F₇, using (u,Â u+v)-construction based on

digital (12, 17, 2409)-net over F₇, using
- net defined by OOA [i] based on linear OOA(7¹⁷, 2409, F₇, 6, 5) (dual of [(2409, 6), 14437, 6]-NRT-code), using
  - OOA stacking with additional row [i] based on linear OOA(7¹⁷, 2410, F₇, 2, 5) (dual of [(2410, 2), 4803, 6]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(7³, 57, F₇, 2, 2) (dual of [(57, 2), 111, 3]-NRT-code), using
        appending kth column [i] based on linear OA(7³, 57, F₇, 2) (dual of [57, 54, 3]-code), using
        Hamming code H(3,7) [i]
      2. linear OOA(7¹⁴, 2353, F₇, 2, 5) (dual of [(2353, 2), 4692, 6]-NRT-code), using
        OOA 2-folding [i] based on linear OA(7¹⁴, 4706, F₇, 5) (dual of [4706, 4692, 6]-code), using
        trace code [i] based on linear OA(49⁷, 2353, F₄₉, 5) (dual of [2353, 2346, 6]-code), using
        a code by Danev and Olsson [i]
digital (71, 82, 2305920)-net over F₇, using
- trace code for nets [i] based on digital (30, 41, 1152960)-net over F₄₉, using
  - net defined by OOA [i] based on linear OOA(49⁴¹, 1152960, F₄₉, 11, 11) (dual of [(1152960, 11), 12682519, 12]-NRT-code), using
    - OOA 5-folding and stacking with additional row [i] based on linear OA(49⁴¹, 5764801, F₄₉, 11) (dual of [5764801, 5764760, 12]-code), using
      - an extension C_e(10) of the primitive narrow-sense BCH-code C(I) with length 5764800Â = 49⁴âˆ’1, defining interval IÂ =Â [1,10], 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.