MinT - Information on Result #1008946

Information on Result #1008946

Linear OOA(9⁵⁰, 5592402, F₉, 3, 7) (dual of [(5592402, 3), 16777156, 8]-NRT-code), using trace code based on linear OOA(81²⁵, 2796201, F₈₁, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using

OOA 3-folding [i] based on linear OA(81²⁵, large, F₈₁, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’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 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(9⁵¹, 5592402, F₉, 3, 7) (dual of [(5592402, 3), 16777155, 8]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(9⁵², 5592402, F₉, 3, 7) (dual of [(5592402, 3), 16777154, 8]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(9⁵³, 5592412, F₉, 3, 7) (dual of [(5592412, 3), 16777183, 8]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(9⁵⁴, 5592484, F₉, 3, 7) (dual of [(5592484, 3), 16777398, 8]-NRT-code)	[i]
5	Linear OOA(9⁵⁵, 5592614, F₉, 3, 7) (dual of [(5592614, 3), 16777787, 8]-NRT-code)	[i]
6	Linear OOA(9⁵⁶, 5593242, F₉, 3, 7) (dual of [(5593242, 3), 16779670, 8]-NRT-code)	[i]
7	Linear OOA(9⁵⁷, 5599125, F₉, 3, 7) (dual of [(5599125, 3), 16797318, 8]-NRT-code)	[i]
8	Linear OOA(9⁵⁸, 5609622, F₉, 3, 7) (dual of [(5609622, 3), 16828808, 8]-NRT-code)	[i]
9	Linear OOA(9⁵⁹, 5660543, F₉, 3, 7) (dual of [(5660543, 3), 16981570, 8]-NRT-code)	[i]
10	Linear OOA(9⁶⁰, 6137046, F₉, 3, 7) (dual of [(6137046, 3), 18411078, 8]-NRT-code)	[i]
11	Linear OOA(9⁶¹, 7004232, F₉, 3, 7) (dual of [(7004232, 3), 21012635, 8]-NRT-code)	[i]
12	Linear OOA(9⁶², large, F₉, 3, 7)	[i]
13	Linear OOA(9⁵⁰, 5592401, F₉, 9, 7) (dual of [(5592401, 9), 50331559, 8]-NRT-code)	[i]	OOA Stacking with Additional Row