MinT - Information on Result #2234384

Information on Result #2234384

Linear OA(3¹⁶¹, 9840, F₃, 27) (dual of [9840, 9679, 28]-code), using 1 times truncation based on linear OA(3¹⁶², 9841, F₃, 28) (dual of [9841, 9679, 29]-code), using

the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,1313,2625,…,−3939}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [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(3¹⁶¹, 5733, F₃, 2, 27) (dual of [(5733, 2), 11305, 28]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁶¹, 5733, F₃, 3, 27) (dual of [(5733, 3), 17038, 28]-NRT-code)	[i]
3	Linear OOA(3¹⁶¹, 5733, F₃, 4, 27) (dual of [(5733, 4), 22771, 28]-NRT-code)	[i]
4	Linear OOA(3¹⁶¹, 5733, F₃, 5, 27) (dual of [(5733, 5), 28504, 28]-NRT-code)	[i]
5	Digital (134, 161, 5733)-net over F₃	[i]
6	Linear OOA(3¹⁶¹, 4920, F₃, 2, 27) (dual of [(4920, 2), 9679, 28]-NRT-code)	[i]		OOA Folding
7	Linear OOA(3¹⁶¹, 3280, F₃, 3, 27) (dual of [(3280, 3), 9679, 28]-NRT-code)	[i]
8	Linear OOA(3¹⁶¹, 2460, F₃, 4, 27) (dual of [(2460, 4), 9679, 28]-NRT-code)	[i]
9	Linear OOA(3¹⁶¹, 1968, F₃, 5, 27) (dual of [(1968, 5), 9679, 28]-NRT-code)	[i]