MinT - Information on Result #985037

Information on Result #985037

Linear OOA(9¹²⁹, 2796201, F₉, 3, 19) (dual of [(2796201, 3), 8388474, 20]-NRT-code), using OOA 3-folding based on linear OA(9¹²⁹, large, F₉, 19) (dual of [large, large−129, 20]-code), using

the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 9¹⁶âˆ’1, defining interval IÂ =Â [0,9], and minimum distance dÂ â‰¥ |{−9,−8,…,9}|+1Â =Â 20 (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(9¹²⁹, 2796201, F₉, 3, 18) (dual of [(2796201, 3), 8388474, 19]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(9¹³², 2796202, F₉, 3, 19) (dual of [(2796202, 3), 8388474, 20]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(9¹³⁵, 2796203, F₉, 3, 19) (dual of [(2796203, 3), 8388474, 20]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
4	Linear OOA(9¹³⁰, 2796201, F₉, 3, 19) (dual of [(2796201, 3), 8388473, 20]-NRT-code)	[i]	OOA Duplication
5	Linear OOA(9¹³¹, 2796201, F₉, 3, 19) (dual of [(2796201, 3), 8388472, 20]-NRT-code)	[i]	OOA Duplication
6	Linear OOA(9¹³⁸, 2796211, F₉, 3, 19) (dual of [(2796211, 3), 8388495, 20]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
7	Linear OOA(9¹³⁹, 2796217, F₉, 3, 19) (dual of [(2796217, 3), 8388512, 20]-NRT-code)	[i]
8	Linear OOA(9¹⁴⁰, 2796221, F₉, 3, 19) (dual of [(2796221, 3), 8388523, 20]-NRT-code)	[i]
9	Linear OOA(9¹⁴¹, 2796229, F₉, 3, 19) (dual of [(2796229, 3), 8388546, 20]-NRT-code)	[i]
10	Linear OOA(9¹⁴², 2796231, F₉, 3, 19) (dual of [(2796231, 3), 8388551, 20]-NRT-code)	[i]
11	Linear OOA(9¹⁴³, 2796233, F₉, 3, 19) (dual of [(2796233, 3), 8388556, 20]-NRT-code)	[i]
12	Linear OOA(9¹⁴⁴, 2796235, F₉, 3, 19) (dual of [(2796235, 3), 8388561, 20]-NRT-code)	[i]
13	Linear OOA(9¹⁴⁵, 2796239, F₉, 3, 19) (dual of [(2796239, 3), 8388572, 20]-NRT-code)	[i]
14	OOA(9¹⁴⁴, 2796239, S₉, 3, 19)	[i]