MinT - Information on Result #1201332

Information on Result #1201332

Digital (13, 27, 585)-net over F₆₄, using net defined by OOA based on linear OOA(64²⁷, 585, F₆₄, 14, 14) (dual of [(585, 14), 8163, 15]-NRT-code), using

OA 7-folding and stacking [i] based on linear OA(64²⁷, 4095, F₆₄, 14) (dual of [4095, 4068, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(64²⁷, 4096, F₆₄, 14) (dual of [4096, 4069, 15]-code), using
  - an extension C_e(13) of the primitive narrow-sense BCH-code C(I) with length 4095Â = 64²âˆ’1, defining interval IÂ =Â [1,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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 (20, 34, 650)-net over F₆₄	[i]		(u,Â u+v)-Construction for Nets
2	Digital (21, 35, 665)-net over F₆₄	[i]
3	Digital (23, 37, 715)-net over F₆₄	[i]
4	Digital (24, 38, 730)-net over F₆₄	[i]
5	Digital (49, 77, 514)-net over F₆₄	[i]
6	Digital (51, 79, 562)-net over F₆₄	[i]
7	Digital (49, 78, 514)-net over F₆₄	[i]
8	Digital (51, 80, 562)-net over F₆₄	[i]
9	Digital (53, 82, 610)-net over F₆₄	[i]
10	Digital (55, 84, 1026)-net over F₆₄	[i]