MinT - Information on Result #813241

Information on Result #813241

Linear OOA(3⁸⁰, 1640, F₃, 2, 16) (dual of [(1640, 2), 3200, 17]-NRT-code), using OOA 2-folding based on linear OA(3⁸⁰, 3280, F₃, 16) (dual of [3280, 3200, 17]-code), using

discarding factors / shortening the dual code 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		Method
1	Linear OOA(3⁸⁰, 1640, F₃, 3, 16) (dual of [(1640, 3), 4840, 17]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3⁸⁰, 1640, F₃, 4, 16) (dual of [(1640, 4), 6480, 17]-NRT-code)	[i]
3	Linear OOA(3⁸⁰, 1640, F₃, 5, 16) (dual of [(1640, 5), 8120, 17]-NRT-code)	[i]
4	Digital (64, 80, 1640)-net over F₃	[i]