MinT - Information on Result #1130617

Information on Result #1130617

Linear OOA(256²⁵, 2097150, F₂₅₆, 6, 9) (dual of [(2097150, 6), 12582875, 10]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OA(256²⁵, 8388601, F₂₅₆, 9) (dual of [8388601, 8388576, 10]-code), using

discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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(256²⁵, 2097150, F₂₅₆, 6, 8) (dual of [(2097150, 6), 12582875, 9]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(256²⁶, 2097150, F₂₅₆, 6, 9) (dual of [(2097150, 6), 12582874, 10]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(256²⁷, 2097150, F₂₅₆, 6, 9) (dual of [(2097150, 6), 12582873, 10]-NRT-code)	[i]
4	Linear OOA(256²⁸, 2097150, F₂₅₆, 6, 9) (dual of [(2097150, 6), 12582872, 10]-NRT-code)	[i]
5	Linear OOA(256²⁹, 2097407, F₂₅₆, 6, 9) (dual of [(2097407, 6), 12584413, 10]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
6	Linear OOA(256³⁰, 2097408, F₂₅₆, 6, 9) (dual of [(2097408, 6), 12584418, 10]-NRT-code)	[i]
7	Linear OOA(256³¹, 2129790, F₂₅₆, 6, 9) (dual of [(2129790, 6), 12778709, 10]-NRT-code)	[i]
8	Linear OOA(256³², 2129919, F₂₅₆, 6, 9) (dual of [(2129919, 6), 12779482, 10]-NRT-code)	[i]
9	Linear OOA(256³³, 2162942, F₂₅₆, 6, 9) (dual of [(2162942, 6), 12977619, 10]-NRT-code)	[i]
10	Linear OOA(256³⁴, 2162943, F₂₅₆, 6, 9) (dual of [(2162943, 6), 12977624, 10]-NRT-code)	[i]
11	Linear OOA(256⁴⁰, 4325637, F₂₅₆, 6, 9) (dual of [(4325637, 6), 25953782, 10]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs