MinT - Information on Result #1204174

Information on Result #1204174

Digital (28, 57, 1170)-net over F₁₂₈, using net defined by OOA based on linear OOA(128⁵⁷, 1170, F₁₂₈, 29, 29) (dual of [(1170, 29), 33873, 30]-NRT-code), using

OOA 14-folding and stacking with additional row [i] based on linear OA(128⁵⁷, 16381, F₁₂₈, 29) (dual of [16381, 16324, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(128⁵⁷, 16384, F₁₂₈, 29) (dual of [16384, 16327, 30]-code), using
  - an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 16383Â = 128²âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [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 (29, 57, 1170)-net over F₁₂₈	[i]	t-Expansion
2	Digital (29, 58, 1170)-net over F₁₂₈	[i]	Net Duplication
3	Digital (30, 59, 1170)-net over F₁₂₈	[i]	Net Duplication
4	Digital (28, 56, 1170)-net over F₁₂₈	[i]	m-Reduction
5	Digital (42, 71, 1299)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
6	Digital (43, 72, 1320)-net over F₁₂₈	[i]
7	Digital (45, 74, 1362)-net over F₁₂₈	[i]
8	Digital (47, 76, 1386)-net over F₁₂₈	[i]
9	Digital (49, 78, 1428)-net over F₁₂₈	[i]