MinT - Information on Result #1785044

Information on Result #1785044

Digital (231, 257, large)-net over F₄, using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4²⁵⁷, large, F₄, 26) (dual of [large, large−257, 27]-code), using

28 times code embedding in larger space [i] based on linear OA(4²²⁹, large, F₄, 26) (dual of [large, large−229, 27]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 27 [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 (232, 257, large)-net over F₄	[i]		t-Expansion
2	Digital (233, 257, large)-net over F₄	[i]
3	Digital (234, 257, large)-net over F₄	[i]
4	Digital (235, 257, large)-net over F₄	[i]
5	Digital (236, 257, large)-net over F₄	[i]
6	Digital (237, 257, large)-net over F₄	[i]
7	Digital (238, 257, large)-net over F₄	[i]
8	Digital (239, 257, large)-net over F₄	[i]
9	Digital (240, 257, large)-net over F₄	[i]
10	Digital (241, 257, large)-net over F₄	[i]
11	Digital (232, 258, large)-net over F₄	[i]		Net Duplication
12	Digital (233, 259, large)-net over F₄	[i]
13	Digital (234, 260, large)-net over F₄	[i]
14	Digital (231, 256, large)-net over F₄	[i]		m-Reduction
15	Digital (231, 255, large)-net over F₄	[i]
16	Digital (231, 254, large)-net over F₄	[i]
17	Digital (231, 253, large)-net over F₄	[i]
18	Digital (231, 252, large)-net over F₄	[i]
19	Digital (231, 251, large)-net over F₄	[i]
20	Digital (231, 250, large)-net over F₄	[i]
21	Digital (231, 249, large)-net over F₄	[i]
22	Digital (231, 248, large)-net over F₄	[i]
23	Digital (231, 247, large)-net over F₄	[i]