MinT - Information on Result #1722252

Information on Result #1722252

Digital (68, 80, 188252)-net over F₅, using net defined by OOA based on linear OOA(5⁸⁰, 188252, F₅, 15, 12) (dual of [(188252, 15), 2823700, 13]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OOA(5⁸⁰, 376505, F₅, 3, 12) (dual of [(376505, 3), 1129435, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5⁸⁰, 376506, F₅, 3, 12) (dual of [(376506, 3), 1129438, 13]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(5⁸⁰, 376506, F₅, 12) (dual of [376506, 376426, 13]-code), using
    - discarding factors / shortening the dual code based on linear OA(5⁸⁰, 390635, F₅, 12) (dual of [390635, 390555, 13]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(5⁷, 10, F₅, 6) (dual of [10, 3, 7]-code), using
        discarding factors / shortening the dual code based on linear OA(5⁷, 11, F₅, 6) (dual of [11, 4, 7]-code), using
        1 times truncation [i] based on linear OA(5⁸, 12, F₅, 7) (dual of [12, 4, 8]-code), using
        an explicit generator matrix [i]
        linear OA(5⁷³, 390625, F₅, 12) (dual of [390625, 390552, 13]-code), using
        an extension C_e(11) of the primitive narrow-sense BCH-code C(I) with length 390624Â = 5⁸âˆ’1, defining interval IÂ =Â [1,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [i]

Mode: 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.