MinT - Information on Result #992366

Information on Result #992366

Linear OOA(128⁴¹, 2796201, F₁₂₈, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using OOA 3-folding based on linear OA(128⁴¹, large, F₁₂₈, 11) (dual of [large, large−41, 12]-code), using

the expurgated narrow-sense BCH-code C(I) with length 15790321Â | 128⁸âˆ’1, defining interval IÂ =Â [0,5], and minimum distance dÂ â‰¥ |{−5,−4,…,5}|+1Â =Â 12 (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(128⁴⁴, 2796202, F₁₂₈, 3, 11) (dual of [(2796202, 3), 8388562, 12]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(128⁴², 2796201, F₁₂₈, 3, 11) (dual of [(2796201, 3), 8388561, 12]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(128⁴³, 2796201, F₁₂₈, 3, 11) (dual of [(2796201, 3), 8388560, 12]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(128⁴⁶, 2796330, F₁₂₈, 3, 11) (dual of [(2796330, 3), 8388944, 12]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(128⁴⁷, 2796351, F₁₂₈, 3, 11) (dual of [(2796351, 3), 8389006, 12]-NRT-code)	[i]
6	Linear OOA(128⁴⁸, 2804329, F₁₂₈, 3, 11) (dual of [(2804329, 3), 8412939, 12]-NRT-code)	[i]
7	Linear OOA(128⁵⁰, 2804458, F₁₂₈, 3, 11) (dual of [(2804458, 3), 8413324, 12]-NRT-code)	[i]
8	Linear OOA(128⁵¹, 2812712, F₁₂₈, 3, 11) (dual of [(2812712, 3), 8438085, 12]-NRT-code)	[i]
9	Linear OOA(128⁵², 2820586, F₁₂₈, 3, 11) (dual of [(2820586, 3), 8461706, 12]-NRT-code)	[i]
10	Linear OOA(128⁵³, 2828714, F₁₂₈, 3, 11) (dual of [(2828714, 3), 8486089, 12]-NRT-code)	[i]
11	Linear OOA(128⁵⁴, 3844778, F₁₂₈, 3, 11) (dual of [(3844778, 3), 11534280, 12]-NRT-code)	[i]
12	Linear OOA(128⁵⁵, 3844781, F₁₂₈, 3, 11) (dual of [(3844781, 3), 11534288, 12]-NRT-code)	[i]
13	Linear OOA(128⁵⁶, 3853096, F₁₂₈, 3, 11) (dual of [(3853096, 3), 11559232, 12]-NRT-code)	[i]
14	Linear OOA(128⁵⁷, 4909736, F₁₂₈, 3, 11) (dual of [(4909736, 3), 14729151, 12]-NRT-code)	[i]
15	Linear OOA(128⁵⁸, 5592402, F₁₂₈, 3, 11) (dual of [(5592402, 3), 16777148, 12]-NRT-code)	[i]
16	Linear OOA(128⁵¹, 2812713, F₁₂₈, 3, 11) (dual of [(2812713, 3), 8438088, 12]-NRT-code)	[i]
17	Linear OOA(128⁵⁶, 3853097, F₁₂₈, 3, 11) (dual of [(3853097, 3), 11559235, 12]-NRT-code)	[i]
18	Linear OOA(128⁵⁷, 4909737, F₁₂₈, 3, 11) (dual of [(4909737, 3), 14729154, 12]-NRT-code)	[i]
19	Linear OOA(128⁶¹, 5592531, F₁₂₈, 3, 11) (dual of [(5592531, 3), 16777532, 12]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs