MinT - Information on Result #1204700

Information on Result #1204700

Digital (30, 46, 1048575)-net over F₂₅₆, using net defined by OOA based on linear OOA(256⁴⁶, 1048575, F₂₅₆, 16, 16) (dual of [(1048575, 16), 16777154, 17]-NRT-code), using

OA 8-folding and stacking [i] based on linear OA(256⁴⁶, 8388600, F₂₅₆, 16) (dual of [8388600, 8388554, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(256⁴⁶, large, F₂₅₆, 16) (dual of [large, large−46, 17]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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 (31, 47, 1048575)-net over F₂₅₆	[i]	Net Duplication
2	Digital (38, 54, 1048832)-net over F₂₅₆	[i]	(u,Â u+v)-Construction for Nets
3	Digital (39, 55, 1048833)-net over F₂₅₆	[i]
4	Digital (40, 56, 1048834)-net over F₂₅₆	[i]
5	Digital (41, 57, 1048835)-net over F₂₅₆	[i]
6	Digital (42, 58, 1049089)-net over F₂₅₆	[i]
7	Digital (43, 59, 1049090)-net over F₂₅₆	[i]
8	Digital (44, 60, 1049345)-net over F₂₅₆	[i]
9	Digital (45, 61, 1064959)-net over F₂₅₆	[i]
10	Digital (46, 62, 1064960)-net over F₂₅₆	[i]
11	Digital (47, 63, 1064961)-net over F₂₅₆	[i]
12	Digital (49, 65, 1065216)-net over F₂₅₆	[i]
13	Digital (50, 66, 1114366)-net over F₂₅₆	[i]
14	Digital (51, 67, 1114367)-net over F₂₅₆	[i]
15	Digital (44, 60, 1049346)-net over F₂₅₆	[i]
16	Digital (50, 66, 1114367)-net over F₂₅₆	[i]
17	Digital (51, 67, 1114368)-net over F₂₅₆	[i]