MinT - Information on Result #993575

Information on Result #993575

Linear OOA(256²⁵, 2796201, F₂₅₆, 3, 9) (dual of [(2796201, 3), 8388578, 10]-NRT-code), using OOA 3-folding 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(256²⁸, 2796202, F₂₅₆, 3, 9) (dual of [(2796202, 3), 8388578, 10]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(256²⁶, 2796201, F₂₅₆, 3, 9) (dual of [(2796201, 3), 8388577, 10]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(256²⁷, 2796201, F₂₅₆, 3, 9) (dual of [(2796201, 3), 8388576, 10]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(256²⁹, 2796458, F₂₅₆, 3, 9) (dual of [(2796458, 3), 8389345, 10]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(256³⁰, 2796459, F₂₅₆, 3, 9) (dual of [(2796459, 3), 8389347, 10]-NRT-code)	[i]
6	Linear OOA(256³¹, 2828841, F₂₅₆, 3, 9) (dual of [(2828841, 3), 8486492, 10]-NRT-code)	[i]
7	Linear OOA(256³², 2828970, F₂₅₆, 3, 9) (dual of [(2828970, 3), 8486878, 10]-NRT-code)	[i]
8	Linear OOA(256³³, 2861992, F₂₅₆, 3, 9) (dual of [(2861992, 3), 8585943, 10]-NRT-code)	[i]
9	Linear OOA(256³⁴, 2861993, F₂₅₆, 3, 9) (dual of [(2861993, 3), 8585945, 10]-NRT-code)	[i]
10	Linear OOA(256³⁵, 5592402, F₂₅₆, 3, 9) (dual of [(5592402, 3), 16777171, 10]-NRT-code)	[i]
11	Linear OOA(256³³, 2861993, F₂₅₆, 3, 9) (dual of [(2861993, 3), 8585946, 10]-NRT-code)	[i]
12	Linear OOA(256³⁴, 2861994, F₂₅₆, 3, 9) (dual of [(2861994, 3), 8585948, 10]-NRT-code)	[i]
13	Linear OOA(256⁴⁰, 5723739, F₂₅₆, 3, 9) (dual of [(5723739, 3), 17171177, 10]-NRT-code)	[i]	Generalized (u,Â u+v)-Construction for OOAs