MinT - Information on Result #1203900

Information on Result #1203900

Digital (20, 41, 1638)-net over F₁₂₈, using net defined by OOA based on linear OOA(128⁴¹, 1638, F₁₂₈, 21, 21) (dual of [(1638, 21), 34357, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(128⁴¹, 16381, F₁₂₈, 21) (dual of [16381, 16340, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(128⁴¹, 16384, F₁₂₈, 21) (dual of [16384, 16343, 22]-code), using
  - an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 16383Â = 128²âˆ’1, defining interval IÂ =Â [1,20], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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 (21, 42, 1638)-net over F₁₂₈	[i]	Net Duplication
2	Digital (20, 40, 1638)-net over F₁₂₈	[i]	m-Reduction
3	Digital (30, 51, 1767)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
4	Digital (31, 52, 1788)-net over F₁₂₈	[i]
5	Digital (33, 54, 1830)-net over F₁₂₈	[i]
6	Digital (35, 56, 1896)-net over F₁₂₈	[i]
7	Digital (36, 57, 1917)-net over F₁₂₈	[i]
8	Digital (37, 58, 1938)-net over F₁₂₈	[i]
9	Digital (38, 59, 1959)-net over F₁₂₈	[i]
10	Digital (38, 59, 2025)-net over F₁₂₈	[i]