MinT - Information on Result #944866

Information on Result #944866

Linear OOA(128¹³, 4194301, F₁₂₈, 3, 4) (dual of [(4194301, 3), 12582890, 5]-NRT-code), using OA 2-folding and stacking based on linear OA(128¹³, 8388602, F₁₂₈, 4) (dual of [8388602, 8388589, 5]-code), using

discarding factors / shortening the dual code based on linear OA(128¹³, large, F₁₂₈, 4) (dual of [large, large−13, 5]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697Â | 128⁴âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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(128¹⁴, 4194301, F₁₂₈, 3, 4) (dual of [(4194301, 3), 12582889, 5]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(128¹⁵, 4194430, F₁₂₈, 3, 4) (dual of [(4194430, 3), 12583275, 5]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(128⁴², 5592402, F₁₂₈, 3, 8) (dual of [(5592402, 3), 16777164, 9]-NRT-code)	[i]
4	Linear OOA(128⁴⁵, 5592404, F₁₂₈, 3, 8) (dual of [(5592404, 3), 16777167, 9]-NRT-code)	[i]
5	Linear OOA(128⁴⁶, 5592660, F₁₂₈, 3, 8) (dual of [(5592660, 3), 16777934, 9]-NRT-code)	[i]
6	Linear OOA(128⁴⁷, 5592702, F₁₂₈, 3, 8) (dual of [(5592702, 3), 16778059, 9]-NRT-code)	[i]
7	Linear OOA(128⁴⁸, 5608658, F₁₂₈, 3, 8) (dual of [(5608658, 3), 16825926, 9]-NRT-code)	[i]
8	Linear OOA(128⁴⁹, 5608788, F₁₂₈, 3, 8) (dual of [(5608788, 3), 16826315, 9]-NRT-code)	[i]
9	Linear OOA(128⁵⁰, 5625424, F₁₂₈, 3, 8) (dual of [(5625424, 3), 16876222, 9]-NRT-code)	[i]
10	Linear OOA(128⁵¹, 5625466, F₁₂₈, 3, 8) (dual of [(5625466, 3), 16876347, 9]-NRT-code)	[i]
11	Linear OOA(128⁵², 7689556, F₁₂₈, 3, 8) (dual of [(7689556, 3), 23068616, 9]-NRT-code)	[i]
12	Linear OOA(128⁵³, 7689562, F₁₂₈, 3, 8) (dual of [(7689562, 3), 23068633, 9]-NRT-code)	[i]
13	Linear OOA(128⁵⁴, 7689814, F₁₂₈, 3, 8) (dual of [(7689814, 3), 23069388, 9]-NRT-code)	[i]
14	Linear OOA(128⁵⁵, large, F₁₂₈, 3, 8)	[i]
15	Linear OOA(128⁴⁶, 5592402, F₁₂₈, 3, 9) (dual of [(5592402, 3), 16777160, 10]-NRT-code)	[i]
16	Linear OOA(128⁴⁹, 5592404, F₁₂₈, 3, 9) (dual of [(5592404, 3), 16777163, 10]-NRT-code)	[i]
17	Linear OOA(128⁵⁰, 5592660, F₁₂₈, 3, 9) (dual of [(5592660, 3), 16777930, 10]-NRT-code)	[i]
18	Linear OOA(128⁵¹, 5592702, F₁₂₈, 3, 9) (dual of [(5592702, 3), 16778055, 10]-NRT-code)	[i]
19	Linear OOA(128⁵², 5608658, F₁₂₈, 3, 9) (dual of [(5608658, 3), 16825922, 10]-NRT-code)	[i]
20	Linear OOA(128⁵³, 5608788, F₁₂₈, 3, 9) (dual of [(5608788, 3), 16826311, 10]-NRT-code)	[i]
21	Linear OOA(128⁵⁴, 5625424, F₁₂₈, 3, 9) (dual of [(5625424, 3), 16876218, 10]-NRT-code)	[i]
22	Linear OOA(128⁵⁵, 5625466, F₁₂₈, 3, 9) (dual of [(5625466, 3), 16876343, 10]-NRT-code)	[i]
23	Linear OOA(128⁵⁶, 7689556, F₁₂₈, 3, 9) (dual of [(7689556, 3), 23068612, 10]-NRT-code)	[i]
24	Linear OOA(128⁵⁷, 7689562, F₁₂₈, 3, 9) (dual of [(7689562, 3), 23068629, 10]-NRT-code)	[i]
25	Linear OOA(128⁵⁸, 7689814, F₁₂₈, 3, 9) (dual of [(7689814, 3), 23069384, 10]-NRT-code)	[i]
26	Linear OOA(128⁵⁹, large, F₁₂₈, 3, 9)	[i]