MinT - Information on Result #1194472

Information on Result #1194472

Digital (80, 104, 1096)-net over F₉, using net defined by OOA based on linear OOA(9¹⁰⁴, 1096, F₉, 24, 24) (dual of [(1096, 24), 26200, 25]-NRT-code), using

OA 12-folding and stacking [i] based on linear OA(9¹⁰⁴, 13152, F₉, 24) (dual of [13152, 13048, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(9¹⁰⁴, 13156, F₉, 24) (dual of [13156, 13052, 25]-code), using
  - trace code [i] based on linear OA(81⁵², 6578, F₈₁, 24) (dual of [6578, 6526, 25]-code), using
    - constructionÂ X applied to C_e(23) âŠ‚ C_e(17) [i] based on
      1. linear OA(81⁴⁷, 6561, F₈₁, 24) (dual of [6561, 6514, 25]-code), using an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 81²âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]
      2. linear OA(81³⁵, 6561, F₈₁, 18) (dual of [6561, 6526, 19]-code), using an extension C_e(17) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 81²âˆ’1, defining interval IÂ =Â [1,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]
      3. linear OA(81⁵, 17, F₈₁, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,81)), using
        discarding factors / shortening the dual code based on linear OA(81⁵, 81, F₈₁, 5) (dual of [81, 76, 6]-code or 81-arc in PG(4,81)), using
        Reedâ€“Solomon code RS(76,81) [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

The following results depend on this result:

	Result		This result only	Method
1	Digital (81, 105, 1096)-net over F₉	[i]		Net Duplication