MinT - Information on Result #1198248

Information on Result #1198248

Digital (40, 61, 1968)-net over F₂₇, using net defined by OOA based on linear OOA(27⁶¹, 1968, F₂₇, 21, 21) (dual of [(1968, 21), 41267, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(27⁶¹, 19681, F₂₇, 21) (dual of [19681, 19620, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(27⁶¹, 19683, F₂₇, 21) (dual of [19683, 19622, 22]-code), using
  - an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 19682Â = 27³âˆ’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		This result only	Method
1	Digital (50, 71, 1996)-net over F₂₇	[i]		(u,Â u+v)-Construction for Nets
2	Digital (51, 72, 2006)-net over F₂₇	[i]
3	Digital (52, 73, 2016)-net over F₂₇	[i]
4	Digital (53, 74, 2020)-net over F₂₇	[i]
5	Digital (54, 75, 2032)-net over F₂₇	[i]
6	Digital (55, 76, 2036)-net over F₂₇	[i]
7	Digital (56, 77, 2044)-net over F₂₇	[i]
8	Digital (57, 78, 2050)-net over F₂₇	[i]
9	Digital (58, 79, 2054)-net over F₂₇	[i]
10	Digital (59, 80, 2114)-net over F₂₇	[i]
11	(54, 75, 2050)-net in base 27	[i]
12	(55, 76, 2068)-net in base 27	[i]
13	(56, 77, 2084)-net in base 27	[i]
14	(59, 80, 2118)-net in base 27	[i]