MinT - Information on Result #2234742

Information on Result #2234742

Linear OA(3¹⁷⁹, 9840, F₃, 30) (dual of [9840, 9661, 31]-code), using 1 times truncation based on linear OA(3¹⁸⁰, 9841, F₃, 31) (dual of [9841, 9661, 32]-code), using

the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,1313,2625,…,−3}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 32 [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(3¹⁷⁹, 6070, F₃, 2, 30) (dual of [(6070, 2), 11961, 31]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁷⁹, 6070, F₃, 3, 30) (dual of [(6070, 3), 18031, 31]-NRT-code)	[i]
3	Linear OOA(3¹⁷⁹, 6070, F₃, 4, 30) (dual of [(6070, 4), 24101, 31]-NRT-code)	[i]
4	Linear OOA(3¹⁷⁹, 6070, F₃, 5, 30) (dual of [(6070, 5), 30171, 31]-NRT-code)	[i]
5	Digital (149, 179, 6070)-net over F₃	[i]
6	Linear OOA(3¹⁷⁹, 4920, F₃, 2, 30) (dual of [(4920, 2), 9661, 31]-NRT-code)	[i]		OOA Folding
7	Linear OOA(3¹⁷⁹, 3280, F₃, 3, 30) (dual of [(3280, 3), 9661, 31]-NRT-code)	[i]
8	Linear OOA(3¹⁷⁹, 2460, F₃, 4, 30) (dual of [(2460, 4), 9661, 31]-NRT-code)	[i]
9	Linear OOA(3¹⁷⁹, 1968, F₃, 5, 30) (dual of [(1968, 5), 9661, 31]-NRT-code)	[i]