MinT - Information on Result #1203320

Information on Result #1203320

Digital (20, 31, 419430)-net over F₁₂₈, using net defined by OOA based on linear OOA(128³¹, 419430, F₁₂₈, 11, 11) (dual of [(419430, 11), 4613699, 12]-NRT-code), using

OOA 5-folding and stacking with additional row [i] based on linear OA(128³¹, 2097151, F₁₂₈, 11) (dual of [2097151, 2097120, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(128³¹, 2097152, F₁₂₈, 11) (dual of [2097152, 2097121, 12]-code), using
  - an extension C_e(10) of the primitive narrow-sense BCH-code C(I) with length 2097151Â = 128³âˆ’1, defining interval IÂ =Â [1,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (25, 36, 419559)-net over F₁₂₈	[i]	(u,Â u+v)-Construction for Nets
2	Digital (26, 37, 419580)-net over F₁₂₈	[i]
3	Digital (27, 38, 427558)-net over F₁₂₈	[i]
4	Digital (29, 40, 427687)-net over F₁₂₈	[i]
5	Digital (50, 61, 3516325)-net over F₁₂₈	[i]	Generalized (u,Â u+v)-Construction for Nets
6	Digital (51, 62, 4548581)-net over F₁₂₈	[i]
7	Digital (52, 63, 7032516)-net over F₁₂₈	[i]
8	Digital (53, 64, large)-net over F₁₂₈	[i]