MinT - Information on Result #1201742

Information on Result #1201742

Digital (40, 61, 26214)-net over F₆₄, using net defined by OOA based on linear OOA(64⁶¹, 26214, F₆₄, 21, 21) (dual of [(26214, 21), 550433, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(64⁶¹, 262141, F₆₄, 21) (dual of [262141, 262080, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(64⁶¹, 262144, F₆₄, 21) (dual of [262144, 262083, 22]-code), using
  - an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 262143Â = 64³âˆ’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 (50, 71, 26279)-net over F₆₄	[i]	(u,Â u+v)-Construction for Nets
2	Digital (51, 72, 26294)-net over F₆₄	[i]
3	Digital (53, 74, 26318)-net over F₆₄	[i]
4	Digital (55, 76, 26344)-net over F₆₄	[i]
5	Digital (56, 77, 26359)-net over F₆₄	[i]
6	Digital (57, 78, 26391)-net over F₆₄	[i]
7	Digital (59, 80, 27033)-net over F₆₄	[i]
8	Digital (58, 79, 26409)-net over F₆₄	[i]