MinT - Information on Result #813251

Information on Result #813251

Linear OOA(3⁹⁰, 4920, F₃, 2, 16) (dual of [(4920, 2), 9750, 17]-NRT-code), using OOA 2-folding based on linear OA(3⁹⁰, 9840, F₃, 16) (dual of [9840, 9750, 17]-code), using

discarding factors / shortening the dual code based on linear OA(3⁹⁰, 9841, F₃, 16) (dual of [9841, 9751, 17]-code), using
- the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,1313,2625,…,−1}, 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(3⁹⁰, 4798, F₃, 3, 16) (dual of [(4798, 3), 14304, 17]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3⁹⁰, 4798, F₃, 4, 16) (dual of [(4798, 4), 19102, 17]-NRT-code)	[i]
3	Linear OOA(3⁹⁰, 4798, F₃, 5, 16) (dual of [(4798, 5), 23900, 17]-NRT-code)	[i]
4	Digital (74, 90, 4798)-net over F₃	[i]