MinT - Information on Result #2229613

Information on Result #2229613

Linear OA(3⁷¹, 9840, F₃, 12) (dual of [9840, 9769, 13]-code), using 1 times truncation based on linear OA(3⁷², 9841, F₃, 13) (dual of [9841, 9769, 14]-code), using

the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,1313,2625,…,−3937}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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(3⁷¹, 4943, F₃, 2, 12) (dual of [(4943, 2), 9815, 13]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3⁷¹, 4943, F₃, 3, 12) (dual of [(4943, 3), 14758, 13]-NRT-code)	[i]
3	Linear OOA(3⁷¹, 4943, F₃, 4, 12) (dual of [(4943, 4), 19701, 13]-NRT-code)	[i]
4	Linear OOA(3⁷¹, 4943, F₃, 5, 12) (dual of [(4943, 5), 24644, 13]-NRT-code)	[i]
5	Digital (59, 71, 4943)-net over F₃	[i]
6	Linear OOA(3⁷¹, 4920, F₃, 2, 12) (dual of [(4920, 2), 9769, 13]-NRT-code)	[i]		OOA Folding
7	Linear OOA(3⁷¹, 3280, F₃, 3, 12) (dual of [(3280, 3), 9769, 13]-NRT-code)	[i]
8	Linear OOA(3⁷¹, 2460, F₃, 4, 12) (dual of [(2460, 4), 9769, 13]-NRT-code)	[i]
9	Linear OOA(3⁷¹, 1968, F₃, 5, 12) (dual of [(1968, 5), 9769, 13]-NRT-code)	[i]
10	Linear OOA(3⁷¹, 1640, F₃, 12, 12) (dual of [(1640, 12), 19609, 13]-NRT-code)	[i]		OA Folding and Stacking