MinT - Information on Result #1784045

Information on Result #1784045

Digital (222, 247, large)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4²⁴⁷, large, F₄, 25) (dual of [large, large−247, 26]-code), using

30 times code embedding in larger space [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 (223, 247, large)-net over F₄	[i]		t-Expansion
2	Digital (224, 247, large)-net over F₄	[i]
3	Digital (225, 247, large)-net over F₄	[i]
4	Digital (226, 247, large)-net over F₄	[i]
5	Digital (227, 247, large)-net over F₄	[i]
6	Digital (228, 247, large)-net over F₄	[i]
7	Digital (229, 247, large)-net over F₄	[i]
8	Digital (230, 247, large)-net over F₄	[i]
9	Digital (223, 248, large)-net over F₄	[i]		Net Duplication
10	Digital (224, 249, large)-net over F₄	[i]
11	Digital (225, 250, large)-net over F₄	[i]
12	Digital (226, 251, large)-net over F₄	[i]
13	Digital (227, 252, large)-net over F₄	[i]
14	Digital (228, 253, large)-net over F₄	[i]
15	Digital (229, 254, large)-net over F₄	[i]
16	Digital (230, 255, large)-net over F₄	[i]
17	Digital (222, 246, large)-net over F₄	[i]		m-Reduction
18	Digital (222, 245, large)-net over F₄	[i]
19	Digital (222, 244, large)-net over F₄	[i]
20	Digital (222, 243, large)-net over F₄	[i]
21	Digital (222, 242, large)-net over F₄	[i]
22	Digital (222, 241, large)-net over F₄	[i]
23	Digital (222, 240, large)-net over F₄	[i]
24	Digital (222, 239, large)-net over F₄	[i]
25	Digital (222, 238, large)-net over F₄	[i]
26	Digital (222, 237, large)-net over F₄	[i]