MinT - Information on Result #1189140

Information on Result #1189140

Digital (114, 131, 1048575)-net over F₅, using net defined by OOA based on linear OOA(5¹³¹, 1048575, F₅, 17, 17) (dual of [(1048575, 17), 17825644, 18]-NRT-code), using

OOA 8-folding and stacking with additional row [i] based on linear OA(5¹³¹, 8388601, F₅, 17) (dual of [8388601, 8388470, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(5¹³¹, large, F₅, 17) (dual of [large, large−131, 18]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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 (115, 132, 1048575)-net over F₅	[i]		Net Duplication
2	Digital (116, 133, 1048575)-net over F₅	[i]
3	Digital (117, 134, 1048575)-net over F₅	[i]
4	Digital (118, 135, 1048575)-net over F₅	[i]
5	Digital (119, 136, 1048575)-net over F₅	[i]
6	Digital (120, 137, 1048575)-net over F₅	[i]
7	Digital (121, 138, 1048575)-net over F₅	[i]
8	Digital (122, 139, 1048581)-net over F₅	[i]		(u,Â u+v)-Construction for Nets
9	Digital (123, 140, 1048585)-net over F₅	[i]
10	Digital (124, 141, 1048587)-net over F₅	[i]
11	Digital (125, 142, 1048591)-net over F₅	[i]
12	Digital (126, 143, 1048593)-net over F₅	[i]
13	Digital (127, 144, 1048595)-net over F₅	[i]
14	Digital (128, 145, 1048596)-net over F₅	[i]
15	Digital (129, 146, 1048601)-net over F₅	[i]
16	Digital (130, 147, 1048627)-net over F₅	[i]
17	Digital (132, 149, 1048629)-net over F₅	[i]