MinT - Information on Result #893904

Information on Result #893904

Linear OOA(4⁷⁵, large, F₄, 2, 7), using trace code based on linear OOA(64²⁵, 4194301, F₆₄, 2, 7) (dual of [(4194301, 2), 8388577, 8]-NRT-code), using

OOA 2-folding [i] based on linear OA(64²⁵, 8388602, F₆₄, 7) (dual of [8388602, 8388577, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(64²⁵, large, F₆₄, 7) (dual of [large, large−25, 8]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,3], and minimum distance dÂ â‰¥ |{−3,−2,…,3}|+1Â =Â 8 (BCH-bound) [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	Linear OOA(4⁷⁵, large, F₄, 2, 6)	[i]	Strength Reduction for OOAs
2	Linear OOA(4⁷⁵, large, F₄, 2, 5)	[i]
3	Linear OOA(4⁷⁵, large, F₄, 2, 4)	[i]
4	Linear OOA(4⁷⁵, large, F₄, 2, 3)	[i]
5	Linear OOA(4⁷⁷, large, F₄, 2, 7)	[i]	NRT-Code Embedding in Larger Space
6	Linear OOA(4⁷⁹, large, F₄, 2, 7)	[i]
7	Linear OOA(4⁸¹, large, F₄, 2, 7)	[i]
8	Linear OOA(4⁸³, large, F₄, 2, 7)	[i]
9	Linear OOA(4⁸⁵, large, F₄, 2, 7)	[i]
10	Linear OOA(4⁸⁹, large, F₄, 2, 7)	[i]
11	Linear OOA(4⁹¹, large, F₄, 2, 7)	[i]
12	Linear OOA(4⁹³, large, F₄, 2, 7)	[i]
13	Linear OOA(4⁹⁵, large, F₄, 2, 7)	[i]
14	Linear OOA(4⁹⁷, large, F₄, 2, 7)	[i]
15	Linear OOA(4¹⁰¹, large, F₄, 2, 7)	[i]
16	Linear OOA(4¹⁰³, large, F₄, 2, 7)	[i]
17	Linear OOA(4¹⁰⁵, large, F₄, 2, 7)	[i]
18	Linear OOA(4¹⁰⁷, large, F₄, 2, 7)	[i]
19	Linear OOA(4¹⁰⁹, large, F₄, 2, 7)	[i]
20	Linear OOA(4¹¹³, large, F₄, 2, 7)	[i]
21	Linear OOA(4¹¹⁵, large, F₄, 2, 7)	[i]
22	Linear OOA(4¹¹⁷, large, F₄, 2, 7)	[i]
23	Linear OOA(4¹¹⁹, large, F₄, 2, 7)	[i]
24	Linear OOA(4¹²¹, large, F₄, 2, 7)	[i]
25	Linear OOA(4¹²⁵, large, F₄, 2, 7)	[i]
26	Linear OOA(4¹²⁷, large, F₄, 2, 7)	[i]
27	Linear OOA(4¹²⁹, large, F₄, 2, 7)	[i]
28	Linear OOA(4¹³¹, large, F₄, 2, 7)	[i]
29	Linear OOA(4¹³³, large, F₄, 2, 7)	[i]
30	Linear OOA(4¹³⁷, large, F₄, 2, 7)	[i]
31	Linear OOA(4¹³⁹, large, F₄, 2, 7)	[i]
32	Linear OOA(4¹⁴¹, large, F₄, 2, 7)	[i]
33	Linear OOA(4¹⁴³, large, F₄, 2, 7)	[i]
34	Linear OOA(4¹⁴⁵, large, F₄, 2, 7)	[i]
35	Linear OOA(4¹⁴⁹, large, F₄, 2, 7)	[i]
36	Linear OOA(4¹⁵¹, large, F₄, 2, 7)	[i]
37	Linear OOA(4¹⁵³, large, F₄, 2, 7)	[i]
38	Linear OOA(4¹⁵⁵, large, F₄, 2, 7)	[i]
39	Linear OOA(4¹⁵⁷, large, F₄, 2, 7)	[i]
40	Linear OOA(4¹⁶¹, large, F₄, 2, 7)	[i]
41	Linear OOA(4¹⁶³, large, F₄, 2, 7)	[i]
42	Linear OOA(4¹⁶⁵, large, F₄, 2, 7)	[i]
43	Linear OOA(4¹⁶⁷, large, F₄, 2, 7)	[i]
44	Linear OOA(4¹⁶⁹, large, F₄, 2, 7)	[i]
45	Linear OOA(4¹⁷³, large, F₄, 2, 7)	[i]
46	Linear OOA(4¹⁷⁵, large, F₄, 2, 7)	[i]
47	Linear OOA(4¹⁷⁷, large, F₄, 2, 7)	[i]
48	Linear OOA(4¹⁷⁹, large, F₄, 2, 7)	[i]
49	Linear OOA(4¹⁸¹, large, F₄, 2, 7)	[i]
50	Linear OOA(4¹⁸³, large, F₄, 2, 7)	[i]
51	Linear OOA(4¹⁸⁵, large, F₄, 2, 7)	[i]
52	Linear OOA(4¹⁸⁷, large, F₄, 2, 7)	[i]
53	Linear OOA(4¹⁸⁹, large, F₄, 2, 7)	[i]
54	Linear OOA(4¹⁹¹, large, F₄, 2, 7)	[i]
55	Linear OOA(4¹⁹³, large, F₄, 2, 7)	[i]
56	Linear OOA(4¹⁹⁵, large, F₄, 2, 7)	[i]
57	Linear OOA(4¹⁹⁷, large, F₄, 2, 7)	[i]
58	Linear OOA(4¹⁹⁹, large, F₄, 2, 7)	[i]
59	Linear OOA(4²⁰¹, large, F₄, 2, 7)	[i]
60	Linear OOA(4²⁰³, large, F₄, 2, 7)	[i]
61	Linear OOA(4²⁰⁵, large, F₄, 2, 7)	[i]
62	Linear OOA(4²⁰⁷, large, F₄, 2, 7)	[i]
63	Linear OOA(4²⁰⁹, large, F₄, 2, 7)	[i]
64	Linear OOA(4²¹¹, large, F₄, 2, 7)	[i]
65	Linear OOA(4²¹³, large, F₄, 2, 7)	[i]
66	Linear OOA(4²¹⁵, large, F₄, 2, 7)	[i]
67	Linear OOA(4²¹⁷, large, F₄, 2, 7)	[i]
68	Linear OOA(4²¹⁹, large, F₄, 2, 7)	[i]
69	Linear OOA(4²²¹, large, F₄, 2, 7)	[i]
70	Linear OOA(4²²³, large, F₄, 2, 7)	[i]
71	Linear OOA(4²²⁵, large, F₄, 2, 7)	[i]
72	Linear OOA(4²²⁷, large, F₄, 2, 7)	[i]
73	Linear OOA(4²²⁹, large, F₄, 2, 7)	[i]
74	Linear OOA(4²³¹, large, F₄, 2, 7)	[i]
75	Linear OOA(4²³³, large, F₄, 2, 7)	[i]
76	Linear OOA(4²³⁵, large, F₄, 2, 7)	[i]
77	Linear OOA(4²³⁷, large, F₄, 2, 7)	[i]
78	Linear OOA(4²³⁹, large, F₄, 2, 7)	[i]
79	Linear OOA(4²⁴¹, large, F₄, 2, 7)	[i]
80	Linear OOA(4²⁴³, large, F₄, 2, 7)	[i]
81	Linear OOA(4²⁴⁵, large, F₄, 2, 7)	[i]
82	Linear OOA(4²⁴⁷, large, F₄, 2, 7)	[i]
83	Linear OOA(4²⁴⁹, large, F₄, 2, 7)	[i]
84	Linear OOA(4²⁵¹, large, F₄, 2, 7)	[i]
85	Linear OOA(4²⁵³, large, F₄, 2, 7)	[i]
86	Linear OOA(4²⁵⁵, large, F₄, 2, 7)	[i]
87	Linear OOA(4²⁵⁷, large, F₄, 2, 7)	[i]
88	Linear OOA(4²⁵⁹, large, F₄, 2, 7)	[i]
89	Linear OOA(4⁷⁶, large, F₄, 2, 7)	[i]	OOA Duplication