MinT - Information on Result #1070062

Information on Result #1070062

Linear OOA(128²⁹, 2097150, F₁₂₈, 4, 8) (dual of [(2097150, 4), 8388571, 9]-NRT-code), using OOA 4-folding based on linear OA(128²⁹, 8388600, F₁₂₈, 8) (dual of [8388600, 8388571, 9]-code), using

discarding factors / shortening the dual code based on linear OA(128²⁹, large, F₁₂₈, 8) (dual of [large, large−29, 9]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697Â | 128⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [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(128³⁰, 2097150, F₁₂₈, 4, 8) (dual of [(2097150, 4), 8388570, 9]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(2²⁰³, large, F₂, 4, 8)	[i]	Trace Code for OOAs
3	Linear OOA(128³³, 2097279, F₁₂₈, 4, 8) (dual of [(2097279, 4), 8389083, 9]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(128³⁴, 2097300, F₁₂₈, 4, 8) (dual of [(2097300, 4), 8389166, 9]-NRT-code)	[i]
5	Linear OOA(128³⁵, 2105278, F₁₂₈, 4, 8) (dual of [(2105278, 4), 8421077, 9]-NRT-code)	[i]
6	Linear OOA(128³⁶, 2105343, F₁₂₈, 4, 8) (dual of [(2105343, 4), 8421336, 9]-NRT-code)	[i]
7	Linear OOA(128³⁷, 2113662, F₁₂₈, 4, 8) (dual of [(2113662, 4), 8454611, 9]-NRT-code)	[i]
8	Linear OOA(128³⁸, 2113683, F₁₂₈, 4, 8) (dual of [(2113683, 4), 8454694, 9]-NRT-code)	[i]
9	Linear OOA(128³⁹, 3145727, F₁₂₈, 4, 8) (dual of [(3145727, 4), 12582869, 9]-NRT-code)	[i]
10	Linear OOA(128⁴⁰, 3145730, F₁₂₈, 4, 8) (dual of [(3145730, 4), 12582880, 9]-NRT-code)	[i]
11	Linear OOA(128⁴¹, 3145856, F₁₂₈, 4, 8) (dual of [(3145856, 4), 12583383, 9]-NRT-code)	[i]
12	Linear OOA(128⁴³, 4194304, F₁₂₈, 4, 8) (dual of [(4194304, 4), 16777173, 9]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs