MinT - Information on Result #1201674

Information on Result #1201674

Digital (57, 76, 932067)-net over F₆₄, using net defined by OOA based on linear OOA(64⁷⁶, 932067, F₆₄, 21, 19) (dual of [(932067, 21), 19573331, 20]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(64⁷⁶, 2796202, F₆₄, 3, 19) (dual of [(2796202, 3), 8388530, 20]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(64⁷³, 2796201, F₆₄, 3, 19) (dual of [(2796201, 3), 8388530, 20]-NRT-code), using
  - OOA 3-folding [i] based on linear OA(64⁷³, large, F₆₄, 19) (dual of [large, large−73, 20]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (BCH-bound) [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 (58, 76, 932067)-net over F₆₄	[i]	t-Expansion
2	Digital (58, 77, 932067)-net over F₆₄	[i]	Net Duplication
3	Digital (59, 78, 932067)-net over F₆₄	[i]
4	Digital (60, 79, 932067)-net over F₆₄	[i]
5	Digital (61, 80, 932067)-net over F₆₄	[i]
6	Digital (62, 81, 932067)-net over F₆₄	[i]
7	Digital (57, 75, 932067)-net over F₆₄	[i]	m-Reduction