MinT - Information on Result #1198302

Information on Result #1198302

Digital (80, 101, 838860)-net over F₂₇, using net defined by OOA based on linear OOA(27¹⁰¹, 838860, F₂₇, 21, 21) (dual of [(838860, 21), 17615959, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(27¹⁰¹, 8388601, F₂₇, 21) (dual of [8388601, 8388500, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(27¹⁰¹, large, F₂₇, 21) (dual of [large, large−101, 22]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 27¹⁰âˆ’1, defining interval IÂ =Â [0,10], and minimum distance dÂ â‰¥ |{−10,−9,…,10}|+1Â =Â 22 (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 (81, 101, 838860)-net over F₂₇	[i]	t-Expansion
2	Digital (81, 102, 838860)-net over F₂₇	[i]	Net Duplication
3	Digital (82, 103, 838860)-net over F₂₇	[i]
4	Digital (83, 104, 838860)-net over F₂₇	[i]
5	Digital (84, 105, 838860)-net over F₂₇	[i]
6	Digital (85, 106, 838860)-net over F₂₇	[i]
7	Digital (86, 107, 838860)-net over F₂₇	[i]
8	Digital (87, 108, 838860)-net over F₂₇	[i]
9	Digital (88, 109, 838860)-net over F₂₇	[i]
10	Digital (89, 110, 838860)-net over F₂₇	[i]
11	Digital (80, 100, 838860)-net over F₂₇	[i]	m-Reduction