MinT - Information on Result #971942

Information on Result #971942

Linear OOA(5⁵¹, 2796201, F₅, 3, 7) (dual of [(2796201, 3), 8388552, 8]-NRT-code), using OOA 3-folding based on linear OA(5⁵¹, large, F₅, 7) (dual of [large, large−51, 8]-code), using

the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [0,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [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(5⁵², 2796201, F₅, 3, 7) (dual of [(2796201, 3), 8388551, 8]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(5⁵³, 2796201, F₅, 3, 7) (dual of [(2796201, 3), 8388550, 8]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(5⁵⁴, 2796207, F₅, 3, 7) (dual of [(2796207, 3), 8388567, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(5⁵⁵, 2796227, F₅, 3, 7) (dual of [(2796227, 3), 8388626, 8]-NRT-code)	[i]
5	Linear OOA(5⁵⁶, 2796267, F₅, 3, 7) (dual of [(2796267, 3), 8388745, 8]-NRT-code)	[i]
6	Linear OOA(5⁵⁷, 2796387, F₅, 3, 7) (dual of [(2796387, 3), 8389104, 8]-NRT-code)	[i]
7	Linear OOA(5⁵⁸, 2796876, F₅, 3, 7) (dual of [(2796876, 3), 8390570, 8]-NRT-code)	[i]
8	Linear OOA(5⁵⁹, 2797916, F₅, 3, 7) (dual of [(2797916, 3), 8393689, 8]-NRT-code)	[i]
9	Linear OOA(5⁶⁰, 2800901, F₅, 3, 7) (dual of [(2800901, 3), 8402643, 8]-NRT-code)	[i]
10	Linear OOA(5⁶¹, 2813325, F₅, 3, 7) (dual of [(2813325, 3), 8439914, 8]-NRT-code)	[i]
11	Linear OOA(5⁶⁶, 5592402, F₅, 3, 7) (dual of [(5592402, 3), 16777140, 8]-NRT-code)	[i]
12	Linear OOA(5⁷⁷, 7289001, F₅, 3, 7) (dual of [(7289001, 3), 21866926, 8]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs
13	Linear OOA(5⁷², 5592870, F₅, 3, 7) (dual of [(5592870, 3), 16778538, 8]-NRT-code)	[i]
14	Linear OOA(5⁷³, 5594745, F₅, 3, 7) (dual of [(5594745, 3), 16784162, 8]-NRT-code)	[i]
15	Linear OOA(5⁷⁴, 5604120, F₅, 3, 7) (dual of [(5604120, 3), 16812286, 8]-NRT-code)	[i]
16	Linear OOA(5⁷⁵, 5650995, F₅, 3, 7) (dual of [(5650995, 3), 16952910, 8]-NRT-code)	[i]
17	Linear OOA(5⁷⁶, 5885370, F₅, 3, 7) (dual of [(5885370, 3), 17656034, 8]-NRT-code)	[i]
18	Linear OOA(5⁷⁸, large, F₅, 3, 7)	[i]
19	Linear OOA(5⁷⁶, 6165801, F₅, 3, 7) (dual of [(6165801, 3), 18497327, 8]-NRT-code)	[i]
20	Linear OOA(5⁷⁰, 5592464, F₅, 3, 7) (dual of [(5592464, 3), 16777322, 8]-NRT-code)	[i]
21	Linear OOA(5⁷¹, 5592714, F₅, 3, 7) (dual of [(5592714, 3), 16778071, 8]-NRT-code)	[i]
22	Linear OOA(5⁷², 5593964, F₅, 3, 7) (dual of [(5593964, 3), 16781820, 8]-NRT-code)	[i]
23	Linear OOA(5⁷³, 5600214, F₅, 3, 7) (dual of [(5600214, 3), 16800569, 8]-NRT-code)	[i]
24	Linear OOA(5⁷⁴, 5631464, F₅, 3, 7) (dual of [(5631464, 3), 16894318, 8]-NRT-code)	[i]
25	Linear OOA(5⁷⁵, 5787714, F₅, 3, 7) (dual of [(5787714, 3), 17363067, 8]-NRT-code)	[i]
26	Linear OOA(5⁷⁶, 6568964, F₅, 3, 7) (dual of [(6568964, 3), 19706816, 8]-NRT-code)	[i]
27	Linear OOA(5⁷⁷, large, F₅, 3, 7)	[i]
28	Linear OOA(5⁶⁸, 5592408, F₅, 3, 7) (dual of [(5592408, 3), 16777156, 8]-NRT-code)	[i]
29	Linear OOA(5⁶⁹, 5592433, F₅, 3, 7) (dual of [(5592433, 3), 16777230, 8]-NRT-code)	[i]
30	Linear OOA(5⁷⁰, 5592558, F₅, 3, 7) (dual of [(5592558, 3), 16777604, 8]-NRT-code)	[i]
31	Linear OOA(5⁷¹, 5593183, F₅, 3, 7) (dual of [(5593183, 3), 16779478, 8]-NRT-code)	[i]
32	Linear OOA(5⁷², 5596308, F₅, 3, 7) (dual of [(5596308, 3), 16788852, 8]-NRT-code)	[i]
33	Linear OOA(5⁷³, 5611933, F₅, 3, 7) (dual of [(5611933, 3), 16835726, 8]-NRT-code)	[i]
34	Linear OOA(5⁷⁴, 5690058, F₅, 3, 7) (dual of [(5690058, 3), 17070100, 8]-NRT-code)	[i]
35	Linear OOA(5⁷⁵, 6080683, F₅, 3, 7) (dual of [(6080683, 3), 18241974, 8]-NRT-code)	[i]
36	Linear OOA(5⁷⁶, 8033808, F₅, 3, 7) (dual of [(8033808, 3), 24101348, 8]-NRT-code)	[i]