MinT - Information on Result #2233719

Information on Result #2233719

Linear OA(3¹⁴³, 3280, F₃, 27) (dual of [3280, 3137, 28]-code), using 1 times truncation based on linear OA(3¹⁴⁴, 3281, F₃, 28) (dual of [3281, 3137, 29]-code), using

the BCH-code C(I) with length 3281Â | 3¹⁶âˆ’1, defining interval IÂ =Â {−27,−25,−23,…,27}, 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(3¹⁴³, 2587, F₃, 2, 27) (dual of [(2587, 2), 5031, 28]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁴³, 2587, F₃, 3, 27) (dual of [(2587, 3), 7618, 28]-NRT-code)	[i]
3	Linear OOA(3¹⁴³, 2587, F₃, 4, 27) (dual of [(2587, 4), 10205, 28]-NRT-code)	[i]
4	Linear OOA(3¹⁴³, 2587, F₃, 5, 27) (dual of [(2587, 5), 12792, 28]-NRT-code)	[i]
5	Digital (116, 143, 2587)-net over F₃	[i]
6	Linear OOA(3¹⁴³, 1640, F₃, 2, 27) (dual of [(1640, 2), 3137, 28]-NRT-code)	[i]		OOA Folding
7	Linear OOA(3¹⁴³, 1093, F₃, 3, 27) (dual of [(1093, 3), 3136, 28]-NRT-code)	[i]
8	Linear OOA(3¹⁴³, 820, F₃, 4, 27) (dual of [(820, 4), 3137, 28]-NRT-code)	[i]
9	Linear OOA(3¹⁴³, 656, F₃, 5, 27) (dual of [(656, 5), 3137, 28]-NRT-code)	[i]