MinT - Information on Result #1179112

Information on Result #1179112

Digital (10, 16, 2796201)-net over F₂₅₆, using net defined by OOA based on linear OOA(256¹⁶, 2796201, F₂₅₆, 6, 6) (dual of [(2796201, 6), 16777190, 7]-NRT-code), using

OA 3-folding and stacking [i] based on linear OA(256¹⁶, large, F₂₅₆, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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 (11, 17, 2796201)-net over F₂₅₆	[i]	Net Duplication
2	Digital (12, 18, 2796201)-net over F₂₅₆	[i]	Net Duplication
3	Digital (26, 32, 5592402)-net over F₁₆	[i]	Trace Code for Nets
4	Digital (53, 66, 4194557)-net over F₂₅₆	[i]	Generalized (u,Â u+v)-Construction for Nets
5	Digital (54, 67, 4259837)-net over F₂₅₆	[i]
6	Digital (55, 68, 4325637)-net over F₂₅₆	[i]
7	Digital (51, 63, 4194557)-net over F₂₅₆	[i]
8	Digital (52, 64, 4259837)-net over F₂₅₆	[i]
9	Digital (53, 65, 4325637)-net over F₂₅₆	[i]
10	Digital (44, 57, 2796457)-net over F₂₅₆	[i]
11	Digital (45, 58, 2796458)-net over F₂₅₆	[i]
12	Digital (46, 59, 2828840)-net over F₂₅₆	[i]
13	Digital (47, 60, 2828969)-net over F₂₅₆	[i]
14	Digital (48, 61, 2861992)-net over F₂₅₆	[i]
15	Digital (49, 62, 2861993)-net over F₂₅₆	[i]
16	Digital (42, 54, 2796457)-net over F₂₅₆	[i]
17	Digital (43, 55, 2796458)-net over F₂₅₆	[i]
18	Digital (44, 56, 2828840)-net over F₂₅₆	[i]
19	Digital (45, 57, 2828969)-net over F₂₅₆	[i]
20	Digital (46, 58, 2861992)-net over F₂₅₆	[i]
21	Digital (47, 59, 2861993)-net over F₂₅₆	[i]