MinT - Information on Result #2230047

Information on Result #2230047

Linear OA(3⁷⁹, 3280, F₃, 15) (dual of [3280, 3201, 16]-code), using 1 times truncation based on linear OA(3⁸⁰, 3281, F₃, 16) (dual of [3281, 3201, 17]-code), using

the BCH-code C(I) with length 3281Â | 3¹⁶âˆ’1, defining interval IÂ =Â {729,1288,1847,…,−729}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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		This result only	Method
1	Linear OOA(3⁷⁹, 2054, F₃, 2, 15) (dual of [(2054, 2), 4029, 16]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3⁷⁹, 2054, F₃, 3, 15) (dual of [(2054, 3), 6083, 16]-NRT-code)	[i]
3	Linear OOA(3⁷⁹, 2054, F₃, 4, 15) (dual of [(2054, 4), 8137, 16]-NRT-code)	[i]
4	Linear OOA(3⁷⁹, 2054, F₃, 5, 15) (dual of [(2054, 5), 10191, 16]-NRT-code)	[i]
5	Digital (64, 79, 2054)-net over F₃	[i]
6	Linear OOA(3⁷⁹, 1640, F₃, 2, 15) (dual of [(1640, 2), 3201, 16]-NRT-code)	[i]		OOA Folding
7	Linear OOA(3⁷⁹, 1093, F₃, 3, 15) (dual of [(1093, 3), 3200, 16]-NRT-code)	[i]
8	Linear OOA(3⁷⁹, 820, F₃, 4, 15) (dual of [(820, 4), 3201, 16]-NRT-code)	[i]
9	Linear OOA(3⁷⁹, 656, F₃, 5, 15) (dual of [(656, 5), 3201, 16]-NRT-code)	[i]