MinT - Information on Result #1197116

Information on Result #1197116

Digital (63, 94, 1043)-net over F₂₅, using net defined by OOA based on linear OOA(25⁹⁴, 1043, F₂₅, 31, 31) (dual of [(1043, 31), 32239, 32]-NRT-code), using

OOA 15-folding and stacking with additional row [i] based on linear OA(25⁹⁴, 15646, F₂₅, 31) (dual of [15646, 15552, 32]-code), using
- discarding factors / shortening the dual code based on linear OA(25⁹⁴, 15649, F₂₅, 31) (dual of [15649, 15555, 32]-code), using
  - constructionÂ X applied to C_e(30) âŠ‚ C_e(23) [i] based on
    1. linear OA(25⁸⁸, 15625, F₂₅, 31) (dual of [15625, 15537, 32]-code), using an extension C_e(30) of the primitive narrow-sense BCH-code C(I) with length 15624Â = 25³âˆ’1, defining interval IÂ =Â [1,30], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 31 [i]
    2. linear OA(25⁷⁰, 15625, F₂₅, 24) (dual of [15625, 15555, 25]-code), using an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 15624Â = 25³âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]
    3. linear OA(25⁶, 24, F₂₅, 6) (dual of [24, 18, 7]-code or 24-arc in PG(5,25)), using
      - discarding factors / shortening the dual code based on linear OA(25⁶, 25, F₂₅, 6) (dual of [25, 19, 7]-code or 25-arc in PG(5,25)), using
        Reedâ€“Solomon code RS(19,25) [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		Method
1	Digital (64, 94, 1043)-net over F₂₅	[i]	t-Expansion
2	Digital (64, 95, 1043)-net over F₂₅	[i]	Net Duplication
3	Digital (65, 96, 1043)-net over F₂₅	[i]
4	Digital (66, 97, 1043)-net over F₂₅	[i]
5	Digital (67, 98, 1043)-net over F₂₅	[i]
6	Digital (68, 99, 1043)-net over F₂₅	[i]
7	Digital (63, 93, 1043)-net over F₂₅	[i]	m-Reduction