MinT - Information on Result #1204856

Information on Result #1204856

Digital (20, 41, 6553)-net over F₂₅₆, using net defined by OOA based on linear OOA(256⁴¹, 6553, F₂₅₆, 21, 21) (dual of [(6553, 21), 137572, 22]-NRT-code), using

OOA 10-folding and stacking with additional row [i] based on linear OA(256⁴¹, 65531, F₂₅₆, 21) (dual of [65531, 65490, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(256⁴¹, 65536, F₂₅₆, 21) (dual of [65536, 65495, 22]-code), using
  - an extension C_e(20) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’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		Method
1	Digital (30, 51, 6810)-net over F₂₅₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (31, 52, 6811)-net over F₂₅₆	[i]
3	Digital (32, 53, 6812)-net over F₂₅₆	[i]
4	Digital (33, 54, 6813)-net over F₂₅₆	[i]
5	Digital (34, 55, 6814)-net over F₂₅₆	[i]
6	Digital (35, 56, 7067)-net over F₂₅₆	[i]
7	Digital (36, 57, 7068)-net over F₂₅₆	[i]
8	Digital (37, 58, 7069)-net over F₂₅₆	[i]
9	Digital (38, 59, 7323)-net over F₂₅₆	[i]
10	Digital (38, 59, 7324)-net over F₂₅₆	[i]