MinT - Information on Result #1781311

Information on Result #1781311

Digital (195, 217, large)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4²¹⁷, large, F₄, 22) (dual of [large, large−217, 23]-code), using

strength reduction [i] based on linear OA(4²¹⁷, large, F₄, 25) (dual of [large, large−217, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 4²⁴âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]

Mode: Linear.

Optimality

Show details for fixed k and m, k and t, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (196, 217, large)-net over F₄	[i]		t-Expansion
2	Digital (197, 217, large)-net over F₄	[i]
3	Digital (198, 217, large)-net over F₄	[i]
4	Digital (199, 217, large)-net over F₄	[i]
5	Digital (200, 217, large)-net over F₄	[i]
6	Digital (201, 217, large)-net over F₄	[i]
7	Digital (202, 217, large)-net over F₄	[i]
8	Digital (203, 217, large)-net over F₄	[i]
9	Digital (196, 218, large)-net over F₄	[i]		Net Duplication
10	Digital (197, 219, large)-net over F₄	[i]
11	Digital (198, 220, large)-net over F₄	[i]
12	Digital (199, 221, large)-net over F₄	[i]
13	Digital (200, 222, large)-net over F₄	[i]
14	Digital (201, 223, large)-net over F₄	[i]
15	Digital (202, 224, large)-net over F₄	[i]
16	Digital (203, 225, large)-net over F₄	[i]
17	Digital (195, 216, large)-net over F₄	[i]		m-Reduction
18	Digital (195, 215, large)-net over F₄	[i]
19	Digital (195, 214, large)-net over F₄	[i]
20	Digital (195, 213, large)-net over F₄	[i]
21	Digital (195, 212, large)-net over F₄	[i]
22	Digital (195, 211, large)-net over F₄	[i]
23	Digital (195, 210, large)-net over F₄	[i]
24	Digital (195, 209, large)-net over F₄	[i]