MinT - Information on Result #1187656

Information on Result #1187656

Digital (140, 169, 4681)-net over F₄, using net defined by OOA based on linear OOA(4¹⁶⁹, 4681, F₄, 29, 29) (dual of [(4681, 29), 135580, 30]-NRT-code), using

OOA 14-folding and stacking with additional row [i] based on linear OA(4¹⁶⁹, 65535, F₄, 29) (dual of [65535, 65366, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4¹⁶⁹, 65536, F₄, 29) (dual of [65536, 65367, 30]-code), using
  - an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 4⁸âˆ’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		This result only	Method
1	Digital (141, 169, 4681)-net over F₄	[i]		t-Expansion
2	Digital (141, 170, 4681)-net over F₄	[i]		Net Duplication
3	Digital (142, 171, 4681)-net over F₄	[i]		Net Duplication
4	Digital (154, 183, 4686)-net over F₄	[i]		(u,Â u+v)-Construction for Nets
5	Digital (155, 184, 4690)-net over F₄	[i]
6	Digital (156, 185, 4691)-net over F₄	[i]
7	Digital (157, 186, 4695)-net over F₄	[i]
8	Digital (158, 187, 4696)-net over F₄	[i]
9	Digital (159, 188, 4698)-net over F₄	[i]