MinT - Information on Result #1138030

Information on Result #1138030

Linear OOA(256⁴⁹, 1398100, F₂₅₆, 6, 17) (dual of [(1398100, 6), 8388551, 18]-NRT-code), using OOA 6-folding based on linear OA(256⁴⁹, 8388600, F₂₅₆, 17) (dual of [8388600, 8388551, 18]-code), using

discarding factors / shortening the dual code based on linear OA(256⁴⁹, large, F₂₅₆, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [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(256⁵⁰, 1398100, F₂₅₆, 6, 17) (dual of [(1398100, 6), 8388550, 18]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(256⁵¹, 1398100, F₂₅₆, 6, 17) (dual of [(1398100, 6), 8388549, 18]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(256⁵⁷, 1398357, F₂₅₆, 6, 17) (dual of [(1398357, 6), 8390085, 18]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(256⁵⁸, 1398358, F₂₅₆, 6, 17) (dual of [(1398358, 6), 8390090, 18]-NRT-code)	[i]
5	Linear OOA(256⁵⁹, 1398359, F₂₅₆, 6, 17) (dual of [(1398359, 6), 8390095, 18]-NRT-code)	[i]
6	Linear OOA(256⁶⁰, 1398360, F₂₅₆, 6, 17) (dual of [(1398360, 6), 8390100, 18]-NRT-code)	[i]
7	Linear OOA(256⁶¹, 1398614, F₂₅₆, 6, 17) (dual of [(1398614, 6), 8391623, 18]-NRT-code)	[i]
8	Linear OOA(256⁶², 1398615, F₂₅₆, 6, 17) (dual of [(1398615, 6), 8391628, 18]-NRT-code)	[i]
9	Linear OOA(256⁶³, 1398870, F₂₅₆, 6, 17) (dual of [(1398870, 6), 8393157, 18]-NRT-code)	[i]
10	Linear OOA(256⁶⁴, 1414484, F₂₅₆, 6, 17) (dual of [(1414484, 6), 8486840, 18]-NRT-code)	[i]
11	Linear OOA(256⁶⁵, 1414485, F₂₅₆, 6, 17) (dual of [(1414485, 6), 8486845, 18]-NRT-code)	[i]
12	Linear OOA(256⁶⁶, 1414486, F₂₅₆, 6, 17) (dual of [(1414486, 6), 8486850, 18]-NRT-code)	[i]
13	Linear OOA(256⁶⁸, 1414741, F₂₅₆, 6, 17) (dual of [(1414741, 6), 8488378, 18]-NRT-code)	[i]
14	Linear OOA(256⁶³, 1398871, F₂₅₆, 6, 17) (dual of [(1398871, 6), 8393163, 18]-NRT-code)	[i]