MinT - Information on Result #992316

Information on Result #992316

Linear OOA(128³³, 2796201, F₁₂₈, 3, 9) (dual of [(2796201, 3), 8388570, 10]-NRT-code), using OOA 3-folding based on linear OA(128³³, large, F₁₂₈, 9) (dual of [large, large−33, 10]-code), using

the expurgated narrow-sense BCH-code C(I) with length 15790321Â | 128⁸âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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(128³⁶, 2796202, F₁₂₈, 3, 9) (dual of [(2796202, 3), 8388570, 10]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(128³⁴, 2796201, F₁₂₈, 3, 9) (dual of [(2796201, 3), 8388569, 10]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(128³⁵, 2796201, F₁₂₈, 3, 9) (dual of [(2796201, 3), 8388568, 10]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(128³⁷, 2796330, F₁₂₈, 3, 9) (dual of [(2796330, 3), 8388953, 10]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(128³⁸, 2796351, F₁₂₈, 3, 9) (dual of [(2796351, 3), 8389015, 10]-NRT-code)	[i]
6	Linear OOA(128³⁹, 2804329, F₁₂₈, 3, 9) (dual of [(2804329, 3), 8412948, 10]-NRT-code)	[i]
7	Linear OOA(128⁴⁰, 2804394, F₁₂₈, 3, 9) (dual of [(2804394, 3), 8413142, 10]-NRT-code)	[i]
8	Linear OOA(128⁴¹, 2812712, F₁₂₈, 3, 9) (dual of [(2812712, 3), 8438095, 10]-NRT-code)	[i]
9	Linear OOA(128⁴², 2812733, F₁₂₈, 3, 9) (dual of [(2812733, 3), 8438157, 10]-NRT-code)	[i]
10	Linear OOA(128⁴³, 3844778, F₁₂₈, 3, 9) (dual of [(3844778, 3), 11534291, 10]-NRT-code)	[i]
11	Linear OOA(128⁴⁴, 3844781, F₁₂₈, 3, 9) (dual of [(3844781, 3), 11534299, 10]-NRT-code)	[i]
12	Linear OOA(128⁴⁵, 3844907, F₁₂₈, 3, 9) (dual of [(3844907, 3), 11534676, 10]-NRT-code)	[i]
13	Linear OOA(128⁴⁶, 5592402, F₁₂₈, 3, 9) (dual of [(5592402, 3), 16777160, 10]-NRT-code)	[i]
14	Linear OOA(128⁴¹, 2812713, F₁₂₈, 3, 9) (dual of [(2812713, 3), 8438098, 10]-NRT-code)	[i]
15	Linear OOA(128⁴², 2812734, F₁₂₈, 3, 9) (dual of [(2812734, 3), 8438160, 10]-NRT-code)	[i]