MinT - Information on Result #1106909

Information on Result #1106909

Linear OOA(256⁴⁷, 13107, F₂₅₆, 5, 24) (dual of [(13107, 5), 65488, 25]-NRT-code), using OOA 5-folding based on linear OA(256⁴⁷, 65535, F₂₅₆, 24) (dual of [65535, 65488, 25]-code), using

discarding factors / shortening the dual code based on linear OA(256⁴⁷, 65536, F₂₅₆, 24) (dual of [65536, 65489, 25]-code), using
- an extension C_e(23) of the primitive narrow-sense BCH-code C(I) with length 65535Â = 256²âˆ’1, defining interval IÂ =Â [1,23], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(256⁵⁹, 13364, F₂₅₆, 5, 24) (dual of [(13364, 5), 66761, 25]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(256⁶⁰, 13365, F₂₅₆, 5, 24) (dual of [(13365, 5), 66765, 25]-NRT-code)	[i]
3	Linear OOA(256⁶¹, 13366, F₂₅₆, 5, 24) (dual of [(13366, 5), 66769, 25]-NRT-code)	[i]
4	Linear OOA(256⁶², 13367, F₂₅₆, 5, 24) (dual of [(13367, 5), 66773, 25]-NRT-code)	[i]
5	Linear OOA(256⁶³, 13368, F₂₅₆, 5, 24) (dual of [(13368, 5), 66777, 25]-NRT-code)	[i]
6	Linear OOA(256⁶⁴, 13369, F₂₅₆, 5, 24) (dual of [(13369, 5), 66781, 25]-NRT-code)	[i]
7	Linear OOA(256⁶⁵, 13621, F₂₅₆, 5, 24) (dual of [(13621, 5), 68040, 25]-NRT-code)	[i]
8	Linear OOA(256⁶⁶, 13622, F₂₅₆, 5, 24) (dual of [(13622, 5), 68044, 25]-NRT-code)	[i]
9	Linear OOA(256⁶⁷, 13623, F₂₅₆, 5, 24) (dual of [(13623, 5), 68048, 25]-NRT-code)	[i]
10	Linear OOA(256⁶⁸, 13624, F₂₅₆, 5, 24) (dual of [(13624, 5), 68052, 25]-NRT-code)	[i]
11	Linear OOA(256⁴⁷, 12318, F₂₅₆, 6, 24) (dual of [(12318, 6), 73861, 25]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
12	Digital (23, 47, 12318)-net over F₂₅₆	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound