MinT - Information on Result #1205250

Information on Result #1205250

Digital (107, 116, large)-net over F₄, using trace code for nets based on digital (20, 29, 2097406)-net over F₂₅₆, using

net defined by OOA [i] based on linear OOA(256²⁹, 2097406, F₂₅₆, 12, 9) (dual of [(2097406, 12), 25168843, 10]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(256²⁹, 2097407, F₂₅₆, 4, 9) (dual of [(2097407, 4), 8389599, 10]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁴, 257, F₂₅₆, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
      - extended Reedâ€“Solomon NRT-code RS_e(4;1024,256) [i]
    2. linear OOA(256²⁵, 2097150, F₂₅₆, 4, 9) (dual of [(2097150, 4), 8388575, 10]-NRT-code), using
      - OOA 4-folding [i] based on linear OA(256²⁵, 8388600, F₂₅₆, 9) (dual of [8388600, 8388575, 10]-code), using
        discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and 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		Method
1	Digital (108, 116, large)-net over F₄	[i]	t-Expansion
2	Digital (109, 116, large)-net over F₄	[i]
3	Digital (110, 116, large)-net over F₄	[i]
4	Digital (111, 116, large)-net over F₄	[i]
5	Digital (112, 116, large)-net over F₄	[i]
6	Digital (113, 116, large)-net over F₄	[i]
7	Digital (108, 117, large)-net over F₄	[i]	Net Duplication
8	Digital (109, 118, large)-net over F₄	[i]
9	Digital (110, 119, large)-net over F₄	[i]
10	Digital (111, 120, large)-net over F₄	[i]
11	Digital (112, 121, large)-net over F₄	[i]
12	Digital (113, 122, large)-net over F₄	[i]
13	Digital (114, 123, large)-net over F₄	[i]
14	Digital (115, 124, large)-net over F₄	[i]
15	Digital (116, 125, large)-net over F₄	[i]
16	Digital (117, 126, large)-net over F₄	[i]
17	Digital (118, 127, large)-net over F₄	[i]
18	Digital (119, 128, large)-net over F₄	[i]
19	Digital (120, 129, large)-net over F₄	[i]
20	Digital (121, 130, large)-net over F₄	[i]
21	Digital (122, 131, large)-net over F₄	[i]
22	Digital (123, 132, large)-net over F₄	[i]
23	Digital (124, 133, large)-net over F₄	[i]
24	Digital (125, 134, large)-net over F₄	[i]
25	Digital (126, 135, large)-net over F₄	[i]
26	Digital (127, 136, large)-net over F₄	[i]
27	Digital (128, 137, large)-net over F₄	[i]
28	Digital (107, 115, large)-net over F₄	[i]	m-Reduction
29	Digital (107, 114, large)-net over F₄	[i]
30	Digital (107, 113, large)-net over F₄	[i]
31	Digital (107, 112, large)-net over F₄	[i]
32	Digital (107, 111, large)-net over F₄	[i]
33	Digital (107, 110, large)-net over F₄	[i]