MinT - Information on Result #1204796

Information on Result #1204796

Digital (18, 37, 7281)-net over F₂₅₆, using net defined by OOA based on linear OOA(256³⁷, 7281, F₂₅₆, 19, 19) (dual of [(7281, 19), 138302, 20]-NRT-code), using

OOA 9-folding and stacking with additional row [i] based on linear OA(256³⁷, 65530, F₂₅₆, 19) (dual of [65530, 65493, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(256³⁷, 65536, F₂₅₆, 19) (dual of [65536, 65499, 20]-code), using
  - an extension C_e(18) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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 (27, 46, 7538)-net over F₂₅₆	[i]	(u,Â u+v)-Construction for Nets
2	Digital (28, 47, 7539)-net over F₂₅₆	[i]
3	Digital (29, 48, 7540)-net over F₂₅₆	[i]
4	Digital (30, 49, 7541)-net over F₂₅₆	[i]
5	Digital (31, 50, 7795)-net over F₂₅₆	[i]
6	Digital (32, 51, 7796)-net over F₂₅₆	[i]
7	Digital (33, 52, 7797)-net over F₂₅₆	[i]
8	Digital (34, 53, 8051)-net over F₂₅₆	[i]
9	Digital (34, 53, 8052)-net over F₂₅₆	[i]