MinT - Information on Result #1205096

Information on Result #1205096

Digital (168, 180, 5592400)-net over F₃, using trace code for nets based on digital (78, 90, 2796200)-net over F₉, using

net defined by OOA [i] based on linear OOA(9⁹⁰, 2796200, F₉, 14, 12) (dual of [(2796200, 14), 39146710, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9⁹⁰, 8388601, F₉, 2, 12) (dual of [(8388601, 2), 16777112, 13]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9⁹⁰, 8388602, F₉, 2, 12) (dual of [(8388602, 2), 16777114, 13]-NRT-code), using
    - trace code [i] based on linear OOA(81⁴⁵, 4194301, F₈₁, 2, 12) (dual of [(4194301, 2), 8388557, 13]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(81⁴⁵, 8388602, F₈₁, 12) (dual of [8388602, 8388557, 13]-code), using
        discarding factors / shortening the dual code based on linear OA(81⁴⁵, large, F₈₁, 12) (dual of [large, large−45, 13]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 21523360Â | 81⁴âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [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 (169, 181, 5592400)-net over F₃	[i]	Net Duplication
2	Digital (170, 182, 5592400)-net over F₃	[i]
3	Digital (171, 183, 5592400)-net over F₃	[i]
4	Digital (172, 184, 5592400)-net over F₃	[i]
5	Digital (173, 185, 5592400)-net over F₃	[i]
6	Digital (174, 186, 5592404)-net over F₃	[i]	(u,Â u+v)-Construction for Nets
7	Digital (175, 187, 5592407)-net over F₃	[i]
8	Digital (176, 188, 5592409)-net over F₃	[i]
9	Digital (177, 189, 5592413)-net over F₃	[i]
10	Digital (178, 190, 5592419)-net over F₃	[i]
11	Digital (179, 191, 5592425)-net over F₃	[i]
12	Digital (180, 192, 5592433)-net over F₃	[i]
13	Digital (181, 193, 5592442)-net over F₃	[i]
14	Digital (184, 196, 5592446)-net over F₃	[i]
15	Digital (185, 197, 5592453)-net over F₃	[i]
16	Digital (186, 198, 5592484)-net over F₃	[i]
17	Digital (188, 200, 5592490)-net over F₃	[i]
18	Digital (189, 201, 5592514)-net over F₃	[i]
19	Digital (190, 202, 5592564)-net over F₃	[i]
20	Digital (192, 204, 5592728)-net over F₃	[i]
21	Digital (195, 207, 5592764)-net over F₃	[i]
22	Digital (196, 208, 5593129)-net over F₃	[i]
23	Digital (197, 209, 5593131)-net over F₃	[i]
24	Digital (198, 210, 5593134)-net over F₃	[i]
25	Digital (200, 212, 5594587)-net over F₃	[i]
26	Digital (201, 213, 5594590)-net over F₃	[i]
27	Digital (202, 214, 5594593)-net over F₃	[i]
28	Digital (203, 215, 5595680)-net over F₃	[i]
29	Digital (204, 216, 5598961)-net over F₃	[i]
30	Digital (205, 217, 5598964)-net over F₃	[i]
31	Digital (206, 218, 5598967)-net over F₃	[i]
32	Digital (207, 219, 5598968)-net over F₃	[i]
33	Digital (208, 220, 5612083)-net over F₃	[i]
34	Digital (209, 221, 5612086)-net over F₃	[i]
35	Digital (210, 222, 5612090)-net over F₃	[i]
36	Digital (224, 236, 7186723)-net over F₃	[i]
37	Digital (225, 237, 7186728)-net over F₃	[i]
38	Digital (226, 238, 7186733)-net over F₃	[i]
39	Digital (228, 240, 8388601)-net over F₃	[i]
40	Digital (231, 243, large)-net over F₃	[i]
41	Linear OOA(3¹⁸⁰, 5592400, F₃, 5, 12) (dual of [(5592400, 5), 27961820, 13]-NRT-code)	[i]	Extracting Embedded OOA