MinT - Information on Result #1715838

Information on Result #1715838

Digital (145, 173, 3103)-net over F₃, using net defined by OOA based on linear OOA(3¹⁷³, 3103, F₃, 35, 28) (dual of [(3103, 35), 108432, 29]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(3¹⁷³, 9310, F₃, 5, 28) (dual of [(9310, 5), 46377, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁷³, 9311, F₃, 5, 28) (dual of [(9311, 5), 46382, 29]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁷³, 9311, F₃, 2, 28) (dual of [(9311, 2), 18449, 29]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(3¹⁷³, 9861, F₃, 2, 28) (dual of [(9861, 2), 19549, 29]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3¹⁷³, 19722, F₃, 28) (dual of [19722, 19549, 29]-code), using
        constructionÂ X applied to C_e(27) âŠ‚ C_e(21) [i] based on
        linear OA(3¹⁶³, 19683, F₃, 28) (dual of [19683, 19520, 29]-code), using an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 19682Â = 3⁹âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [i]
        linear OA(3¹²⁷, 19683, F₃, 22) (dual of [19683, 19556, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 19682Â = 3⁹âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
        linear OA(3¹⁰, 39, F₃, 5) (dual of [39, 29, 6]-code), using
        generator matrices provided on Edelâ€™s homepage [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.