MinT - Information on Result #1202534

Information on Result #1202534

Digital (15, 31, 820)-net over F₈₁, using net defined by OOA based on linear OOA(81³¹, 820, F₈₁, 16, 16) (dual of [(820, 16), 13089, 17]-NRT-code), using

OA 8-folding and stacking [i] based on linear OA(81³¹, 6560, F₈₁, 16) (dual of [6560, 6529, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(81³¹, 6561, F₈₁, 16) (dual of [6561, 6530, 17]-code), using
  - an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 6560Â = 81²âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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 (23, 39, 902)-net over F₈₁	[i]		(u,Â u+v)-Construction for Nets
2	Digital (24, 40, 920)-net over F₈₁	[i]
3	Digital (25, 41, 936)-net over F₈₁	[i]
4	Digital (27, 43, 984)-net over F₈₁	[i]
5	Digital (28, 44, 1002)-net over F₈₁	[i]
6	Digital (47, 79, 740)-net over F₈₁	[i]
7	Digital (47, 80, 740)-net over F₈₁	[i]