MinT - Information on Result #1204372

Information on Result #1204372

Digital (18, 28, 1677720)-net over F₂₅₆, using net defined by OOA based on linear OOA(256²⁸, 1677720, F₂₅₆, 10, 10) (dual of [(1677720, 10), 16777172, 11]-NRT-code), using

OA 5-folding and stacking [i] based on linear OA(256²⁸, 8388600, F₂₅₆, 10) (dual of [8388600, 8388572, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(256²⁸, large, F₂₅₆, 10) (dual of [large, large−28, 11]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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 (19, 29, 1677720)-net over F₂₅₆	[i]	Net Duplication
2	Digital (102, 112, 6710880)-net over F₄	[i]	Trace Code for Nets
3	Digital (46, 56, 3355440)-net over F₁₆	[i]	Trace Code for Nets
4	Digital (23, 33, 1677977)-net over F₂₅₆	[i]	(u,Â u+v)-Construction for Nets
5	Digital (24, 34, 1677978)-net over F₂₅₆	[i]
6	Digital (25, 35, 1710360)-net over F₂₅₆	[i]
7	Digital (27, 37, 1710617)-net over F₂₅₆	[i]
8	Digital (28, 38, 1743512)-net over F₂₅₆	[i]
9	Digital (29, 39, 1775641)-net over F₂₅₆	[i]
10	Digital (30, 40, 1808281)-net over F₂₅₆	[i]
11	Digital (31, 41, 3355440)-net over F₂₅₆	[i]
12	Digital (35, 45, 3420977)-net over F₂₅₆	[i]	Generalized (u,Â u+v)-Construction for Nets
13	Digital (36, 46, 3486777)-net over F₂₅₆	[i]
14	Digital (37, 47, 5033160)-net over F₂₅₆	[i]
15	(22, 32, 1677720)-net in base 128	[i]	Base Change