MinT - Information on Result #880181

Information on Result #880181

Linear OOA(256⁵⁵, 4194301, F₂₅₆, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using OOA 2-folding based on linear OA(256⁵⁵, 8388602, F₂₅₆, 19) (dual of [8388602, 8388547, 20]-code), using

discarding factors / shortening the dual code based on linear OA(256⁵⁵, large, F₂₅₆, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [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(256⁵⁷, 4194302, F₂₅₆, 2, 19) (dual of [(4194302, 2), 8388547, 20]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(256⁵⁹, 4194303, F₂₅₆, 2, 19) (dual of [(4194303, 2), 8388547, 20]-NRT-code)	[i]
3	Linear OOA(256⁶¹, 4194304, F₂₅₆, 2, 19) (dual of [(4194304, 2), 8388547, 20]-NRT-code)	[i]
4	Linear OOA(256⁶³, 4194305, F₂₅₆, 2, 19) (dual of [(4194305, 2), 8388547, 20]-NRT-code)	[i]
5	Linear OOA(256⁵⁶, 4194301, F₂₅₆, 2, 19) (dual of [(4194301, 2), 8388546, 20]-NRT-code)	[i]	OOA Duplication
6	Linear OOA(16¹¹⁰, 8388602, F₁₆, 2, 19) (dual of [(8388602, 2), 16777094, 20]-NRT-code)	[i]	Trace Code for OOAs
7	Linear OOA(256⁶⁴, 4194558, F₂₅₆, 2, 19) (dual of [(4194558, 2), 8389052, 20]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
8	Linear OOA(256⁶⁵, 4194559, F₂₅₆, 2, 19) (dual of [(4194559, 2), 8389053, 20]-NRT-code)	[i]
9	Linear OOA(256⁶⁶, 4194560, F₂₅₆, 2, 19) (dual of [(4194560, 2), 8389054, 20]-NRT-code)	[i]
10	Linear OOA(256⁶⁷, 4194561, F₂₅₆, 2, 19) (dual of [(4194561, 2), 8389055, 20]-NRT-code)	[i]
11	Linear OOA(256⁶⁸, 4194815, F₂₅₆, 2, 19) (dual of [(4194815, 2), 8389562, 20]-NRT-code)	[i]