MinT - Information on Result #971908

Information on Result #971908

Linear OOA(5⁴¹, 2796201, F₅, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using OOA 3-folding based on linear OA(5⁴¹, large, F₅, 6) (dual of [large, large−41, 7]-code), using

the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(5⁴², 2796201, F₅, 3, 6) (dual of [(2796201, 3), 8388561, 7]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(5⁴³, 2796201, F₅, 3, 6) (dual of [(2796201, 3), 8388560, 7]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(5⁴⁴, 2796207, F₅, 3, 6) (dual of [(2796207, 3), 8388577, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(5⁴⁵, 2796227, F₅, 3, 6) (dual of [(2796227, 3), 8388636, 7]-NRT-code)	[i]
5	Linear OOA(5⁴⁶, 2796267, F₅, 3, 6) (dual of [(2796267, 3), 8388755, 7]-NRT-code)	[i]
6	Linear OOA(5⁴⁷, 2796387, F₅, 3, 6) (dual of [(2796387, 3), 8389114, 7]-NRT-code)	[i]
7	Linear OOA(5⁴⁸, 2796876, F₅, 3, 6) (dual of [(2796876, 3), 8390580, 7]-NRT-code)	[i]
8	Linear OOA(5⁴⁹, 2797916, F₅, 3, 6) (dual of [(2797916, 3), 8393699, 7]-NRT-code)	[i]
9	Linear OOA(5⁵⁰, 2800901, F₅, 3, 6) (dual of [(2800901, 3), 8402653, 7]-NRT-code)	[i]
10	Linear OOA(5⁵¹, 2813325, F₅, 3, 6) (dual of [(2813325, 3), 8439924, 7]-NRT-code)	[i]
11	Linear OOA(5⁵⁶, 5592402, F₅, 3, 6) (dual of [(5592402, 3), 16777150, 7]-NRT-code)	[i]
12	Linear OOA(5¹³², 5592402, F₅, 3, 12) (dual of [(5592402, 3), 16777074, 13]-NRT-code)	[i]
13	Linear OOA(5¹³⁸, 5592408, F₅, 3, 12) (dual of [(5592408, 3), 16777086, 13]-NRT-code)	[i]
14	Linear OOA(5¹³⁹, 5592412, F₅, 3, 12) (dual of [(5592412, 3), 16777097, 13]-NRT-code)	[i]
15	Linear OOA(5¹⁴⁰, 5592416, F₅, 3, 12) (dual of [(5592416, 3), 16777108, 13]-NRT-code)	[i]
16	Linear OOA(5¹⁴¹, 5592429, F₅, 3, 12) (dual of [(5592429, 3), 16777146, 13]-NRT-code)	[i]
17	Linear OOA(5¹⁴², 5592435, F₅, 3, 12) (dual of [(5592435, 3), 16777163, 13]-NRT-code)	[i]
18	Linear OOA(5¹⁴⁴, 5592454, F₅, 3, 12) (dual of [(5592454, 3), 16777218, 13]-NRT-code)	[i]
19	Linear OOA(5¹⁴⁸, 5592506, F₅, 3, 12) (dual of [(5592506, 3), 16777370, 13]-NRT-code)	[i]
20	Linear OOA(5¹⁴⁹, 5592610, F₅, 3, 12) (dual of [(5592610, 3), 16777681, 13]-NRT-code)	[i]
21	Linear OOA(5¹⁵⁰, 5592612, F₅, 3, 12) (dual of [(5592612, 3), 16777686, 13]-NRT-code)	[i]
22	Linear OOA(5¹⁴², 5592402, F₅, 3, 13) (dual of [(5592402, 3), 16777064, 14]-NRT-code)	[i]
23	Linear OOA(5¹⁴⁸, 5592408, F₅, 3, 13) (dual of [(5592408, 3), 16777076, 14]-NRT-code)	[i]
24	Linear OOA(5¹⁴⁹, 5592412, F₅, 3, 13) (dual of [(5592412, 3), 16777087, 14]-NRT-code)	[i]
25	Linear OOA(5¹⁵⁰, 5592416, F₅, 3, 13) (dual of [(5592416, 3), 16777098, 14]-NRT-code)	[i]
26	Linear OOA(5¹⁴³, 5592441, F₅, 3, 12) (dual of [(5592441, 3), 16777180, 13]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
27	Linear OOA(5¹⁴⁴, 5592461, F₅, 3, 12) (dual of [(5592461, 3), 16777239, 13]-NRT-code)	[i]
28	Linear OOA(5¹⁴⁵, 5592481, F₅, 3, 12) (dual of [(5592481, 3), 16777298, 13]-NRT-code)	[i]
29	Linear OOA(5¹⁴⁶, 5592483, F₅, 3, 12) (dual of [(5592483, 3), 16777303, 13]-NRT-code)	[i]
30	Linear OOA(5¹⁴⁶, 5592498, F₅, 3, 12) (dual of [(5592498, 3), 16777348, 13]-NRT-code)	[i]
31	Linear OOA(5¹⁴⁷, 5592521, F₅, 3, 12) (dual of [(5592521, 3), 16777416, 13]-NRT-code)	[i]
32	Linear OOA(5¹⁴⁸, 5592534, F₅, 3, 12) (dual of [(5592534, 3), 16777454, 13]-NRT-code)	[i]
33	Linear OOA(5¹⁴⁵, 5592492, F₅, 3, 12) (dual of [(5592492, 3), 16777331, 13]-NRT-code)	[i]
34	Linear OOA(5¹⁴⁶, 5592512, F₅, 3, 12) (dual of [(5592512, 3), 16777390, 13]-NRT-code)	[i]
35	Linear OOA(5¹⁴⁷, 5592532, F₅, 3, 12) (dual of [(5592532, 3), 16777449, 13]-NRT-code)	[i]
36	Linear OOA(5¹⁴⁷, 5592552, F₅, 3, 12) (dual of [(5592552, 3), 16777509, 13]-NRT-code)	[i]
37	Linear OOA(5¹⁴⁸, 5592577, F₅, 3, 12) (dual of [(5592577, 3), 16777583, 13]-NRT-code)	[i]
38	Linear OOA(5¹⁴⁹, 5592612, F₅, 3, 12) (dual of [(5592612, 3), 16777687, 13]-NRT-code)	[i]
39	Linear OOA(5¹⁵⁰, 5592636, F₅, 3, 12) (dual of [(5592636, 3), 16777758, 13]-NRT-code)	[i]
40	Linear OOA(5¹⁴⁶, 5592551, F₅, 3, 12) (dual of [(5592551, 3), 16777507, 13]-NRT-code)	[i]
41	Linear OOA(5¹⁴⁷, 5592571, F₅, 3, 12) (dual of [(5592571, 3), 16777566, 13]-NRT-code)	[i]
42	Linear OOA(5¹⁴⁸, 5592591, F₅, 3, 12) (dual of [(5592591, 3), 16777625, 13]-NRT-code)	[i]
43	Linear OOA(5¹⁴⁸, 5592611, F₅, 3, 12) (dual of [(5592611, 3), 16777685, 13]-NRT-code)	[i]
44	Linear OOA(5¹⁴⁹, 5592636, F₅, 3, 12) (dual of [(5592636, 3), 16777759, 13]-NRT-code)	[i]
45	Linear OOA(5¹⁵⁰, 5592671, F₅, 3, 12) (dual of [(5592671, 3), 16777863, 13]-NRT-code)	[i]
46	Linear OOA(5¹⁴⁹, 5592682, F₅, 3, 12) (dual of [(5592682, 3), 16777897, 13]-NRT-code)	[i]
47	Linear OOA(5¹⁵⁰, 5592707, F₅, 3, 12) (dual of [(5592707, 3), 16777971, 13]-NRT-code)	[i]
48	Linear OOA(5¹⁴⁸, 5592714, F₅, 3, 12) (dual of [(5592714, 3), 16777994, 13]-NRT-code)	[i]
49	Linear OOA(5¹⁴⁹, 5592734, F₅, 3, 12) (dual of [(5592734, 3), 16778053, 13]-NRT-code)	[i]
50	Linear OOA(5¹⁵⁰, 5592754, F₅, 3, 12) (dual of [(5592754, 3), 16778112, 13]-NRT-code)	[i]
51	Linear OOA(5¹⁵⁰, 5592774, F₅, 3, 12) (dual of [(5592774, 3), 16778172, 13]-NRT-code)	[i]
52	Linear OOA(5¹⁴⁹, 5593014, F₅, 3, 12) (dual of [(5593014, 3), 16778893, 13]-NRT-code)	[i]
53	Linear OOA(5¹⁵⁰, 5593034, F₅, 3, 12) (dual of [(5593034, 3), 16778952, 13]-NRT-code)	[i]
54	Linear OOA(5⁶⁷, 7289001, F₅, 3, 6) (dual of [(7289001, 3), 21866936, 7]-NRT-code)	[i]
55	Linear OOA(5⁶², 5592870, F₅, 3, 6) (dual of [(5592870, 3), 16778548, 7]-NRT-code)	[i]
56	Linear OOA(5⁶³, 5594745, F₅, 3, 6) (dual of [(5594745, 3), 16784172, 7]-NRT-code)	[i]
57	Linear OOA(5⁶⁴, 5604120, F₅, 3, 6) (dual of [(5604120, 3), 16812296, 7]-NRT-code)	[i]
58	Linear OOA(5⁶⁵, 5650995, F₅, 3, 6) (dual of [(5650995, 3), 16952920, 7]-NRT-code)	[i]
59	Linear OOA(5⁶⁶, 5885370, F₅, 3, 6) (dual of [(5885370, 3), 17656044, 7]-NRT-code)	[i]
60	Linear OOA(5⁶⁸, large, F₅, 3, 6)	[i]
61	Linear OOA(5¹⁴⁹, 5592414, F₅, 3, 13) (dual of [(5592414, 3), 16777093, 14]-NRT-code)	[i]
62	Linear OOA(5¹⁵⁰, 5592420, F₅, 3, 13) (dual of [(5592420, 3), 16777110, 14]-NRT-code)	[i]
63	Linear OOA(5¹³⁹, 5592414, F₅, 3, 12) (dual of [(5592414, 3), 16777103, 13]-NRT-code)	[i]
64	Linear OOA(5¹⁴⁰, 5592420, F₅, 3, 12) (dual of [(5592420, 3), 16777120, 13]-NRT-code)	[i]
65	Linear OOA(5¹⁴¹, 5592435, F₅, 3, 12) (dual of [(5592435, 3), 16777164, 13]-NRT-code)	[i]
66	Linear OOA(5¹⁴², 5592455, F₅, 3, 12) (dual of [(5592455, 3), 16777223, 13]-NRT-code)	[i]
67	Linear OOA(5¹⁴³, 5592456, F₅, 3, 12) (dual of [(5592456, 3), 16777225, 13]-NRT-code)	[i]
68	Linear OOA(5¹⁴³, 5592472, F₅, 3, 12) (dual of [(5592472, 3), 16777273, 13]-NRT-code)	[i]
69	Linear OOA(5¹⁴⁴, 5592490, F₅, 3, 12) (dual of [(5592490, 3), 16777326, 13]-NRT-code)	[i]
70	Linear OOA(5¹⁴³, 5592486, F₅, 3, 12) (dual of [(5592486, 3), 16777315, 13]-NRT-code)	[i]
71	Linear OOA(5¹⁴⁴, 5592506, F₅, 3, 12) (dual of [(5592506, 3), 16777374, 13]-NRT-code)	[i]
72	Linear OOA(5¹⁴⁵, 5592546, F₅, 3, 12) (dual of [(5592546, 3), 16777493, 13]-NRT-code)	[i]
73	Linear OOA(5¹⁴⁶, 5592558, F₅, 3, 12) (dual of [(5592558, 3), 16777528, 13]-NRT-code)	[i]
74	Linear OOA(5¹⁴⁴, 5592545, F₅, 3, 12) (dual of [(5592545, 3), 16777491, 13]-NRT-code)	[i]
75	Linear OOA(5¹⁴⁵, 5592565, F₅, 3, 12) (dual of [(5592565, 3), 16777550, 13]-NRT-code)	[i]
76	Linear OOA(5¹⁴⁶, 5592605, F₅, 3, 12) (dual of [(5592605, 3), 16777669, 13]-NRT-code)	[i]
77	Linear OOA(5¹⁴⁷, 5592676, F₅, 3, 12) (dual of [(5592676, 3), 16777881, 13]-NRT-code)	[i]
78	Linear OOA(5¹⁴⁶, 5592708, F₅, 3, 12) (dual of [(5592708, 3), 16777978, 13]-NRT-code)	[i]
79	Linear OOA(5¹⁴⁷, 5592728, F₅, 3, 12) (dual of [(5592728, 3), 16778037, 13]-NRT-code)	[i]
80	Linear OOA(5¹⁴⁸, 5592768, F₅, 3, 12) (dual of [(5592768, 3), 16778156, 13]-NRT-code)	[i]
81	Linear OOA(5¹⁴⁷, 5593008, F₅, 3, 12) (dual of [(5593008, 3), 16778877, 13]-NRT-code)	[i]
82	Linear OOA(5¹⁴⁸, 5593028, F₅, 3, 12) (dual of [(5593028, 3), 16778936, 13]-NRT-code)	[i]
83	Linear OOA(5¹⁴⁹, 5593068, F₅, 3, 12) (dual of [(5593068, 3), 16779055, 13]-NRT-code)	[i]
84	Linear OOA(5¹⁵⁰, 5593188, F₅, 3, 12) (dual of [(5593188, 3), 16779414, 13]-NRT-code)	[i]
85	Linear OOA(5¹⁵⁰, 5593189, F₅, 3, 12) (dual of [(5593189, 3), 16779417, 13]-NRT-code)	[i]
86	Linear OOA(5⁶⁶, 6165801, F₅, 3, 6) (dual of [(6165801, 3), 18497337, 7]-NRT-code)	[i]
87	Linear OOA(5⁶⁰, 5592464, F₅, 3, 6) (dual of [(5592464, 3), 16777332, 7]-NRT-code)	[i]
88	Linear OOA(5⁶¹, 5592714, F₅, 3, 6) (dual of [(5592714, 3), 16778081, 7]-NRT-code)	[i]
89	Linear OOA(5⁶², 5593964, F₅, 3, 6) (dual of [(5593964, 3), 16781830, 7]-NRT-code)	[i]
90	Linear OOA(5⁶³, 5600214, F₅, 3, 6) (dual of [(5600214, 3), 16800579, 7]-NRT-code)	[i]
91	Linear OOA(5⁶⁴, 5631464, F₅, 3, 6) (dual of [(5631464, 3), 16894328, 7]-NRT-code)	[i]
92	Linear OOA(5⁶⁵, 5787714, F₅, 3, 6) (dual of [(5787714, 3), 17363077, 7]-NRT-code)	[i]
93	Linear OOA(5⁶⁶, 6568964, F₅, 3, 6) (dual of [(6568964, 3), 19706826, 7]-NRT-code)	[i]
94	Linear OOA(5⁶⁷, large, F₅, 3, 6)	[i]
95	Linear OOA(5¹⁴⁶, 5592408, F₅, 3, 13) (dual of [(5592408, 3), 16777078, 14]-NRT-code)	[i]
96	Linear OOA(5¹⁴⁷, 5592414, F₅, 3, 13) (dual of [(5592414, 3), 16777095, 14]-NRT-code)	[i]
97	Linear OOA(5¹⁴⁸, 5592429, F₅, 3, 13) (dual of [(5592429, 3), 16777139, 14]-NRT-code)	[i]
98	Linear OOA(5¹⁴⁹, 5592446, F₅, 3, 13) (dual of [(5592446, 3), 16777189, 14]-NRT-code)	[i]
99	Linear OOA(5¹⁵⁰, 5592480, F₅, 3, 13) (dual of [(5592480, 3), 16777290, 14]-NRT-code)	[i]
100	Linear OOA(5¹³⁶, 5592408, F₅, 3, 12) (dual of [(5592408, 3), 16777088, 13]-NRT-code)	[i]
101	Linear OOA(5¹³⁷, 5592414, F₅, 3, 12) (dual of [(5592414, 3), 16777105, 13]-NRT-code)	[i]
102	Linear OOA(5¹³⁸, 5592429, F₅, 3, 12) (dual of [(5592429, 3), 16777149, 13]-NRT-code)	[i]
103	Linear OOA(5¹³⁹, 5592446, F₅, 3, 12) (dual of [(5592446, 3), 16777199, 13]-NRT-code)	[i]
104	Linear OOA(5¹⁴⁰, 5592480, F₅, 3, 12) (dual of [(5592480, 3), 16777300, 13]-NRT-code)	[i]
105	Linear OOA(5¹⁴¹, 5592539, F₅, 3, 12) (dual of [(5592539, 3), 16777476, 13]-NRT-code)	[i]
106	Linear OOA(5¹⁴³, 5592702, F₅, 3, 12) (dual of [(5592702, 3), 16777963, 13]-NRT-code)	[i]
107	Linear OOA(5¹⁴⁴, 5593002, F₅, 3, 12) (dual of [(5593002, 3), 16778862, 13]-NRT-code)	[i]
108	Linear OOA(5¹⁴⁶, 5593030, F₅, 3, 12) (dual of [(5593030, 3), 16778944, 13]-NRT-code)	[i]
109	Linear OOA(5¹⁴⁷, 5593183, F₅, 3, 12) (dual of [(5593183, 3), 16779402, 13]-NRT-code)	[i]
110	Linear OOA(5¹⁴⁸, 5593967, F₅, 3, 12) (dual of [(5593967, 3), 16781753, 13]-NRT-code)	[i]
111	Linear OOA(5¹⁴⁹, 5593970, F₅, 3, 12) (dual of [(5593970, 3), 16781761, 13]-NRT-code)	[i]
112	Linear OOA(5¹⁵⁰, 5594355, F₅, 3, 12) (dual of [(5594355, 3), 16782915, 13]-NRT-code)	[i]
113	Linear OOA(5⁵⁸, 5592408, F₅, 3, 6) (dual of [(5592408, 3), 16777166, 7]-NRT-code)	[i]
114	Linear OOA(5⁵⁹, 5592433, F₅, 3, 6) (dual of [(5592433, 3), 16777240, 7]-NRT-code)	[i]
115	Linear OOA(5⁶⁰, 5592558, F₅, 3, 6) (dual of [(5592558, 3), 16777614, 7]-NRT-code)	[i]
116	Linear OOA(5⁶¹, 5593183, F₅, 3, 6) (dual of [(5593183, 3), 16779488, 7]-NRT-code)	[i]
117	Linear OOA(5⁶², 5596308, F₅, 3, 6) (dual of [(5596308, 3), 16788862, 7]-NRT-code)	[i]
118	Linear OOA(5⁶³, 5611933, F₅, 3, 6) (dual of [(5611933, 3), 16835736, 7]-NRT-code)	[i]
119	Linear OOA(5⁶⁴, 5690058, F₅, 3, 6) (dual of [(5690058, 3), 17070110, 7]-NRT-code)	[i]
120	Linear OOA(5⁶⁵, 6080683, F₅, 3, 6) (dual of [(6080683, 3), 18241984, 7]-NRT-code)	[i]
121	Linear OOA(5⁶⁶, 8033808, F₅, 3, 6) (dual of [(8033808, 3), 24101358, 7]-NRT-code)	[i]