MinT - Information on Result #813560

Information on Result #813560

Linear OOA(3¹⁰⁸, 4920, F₃, 2, 19) (dual of [(4920, 2), 9732, 20]-NRT-code), using OOA 2-folding based on linear OA(3¹⁰⁸, 9840, F₃, 19) (dual of [9840, 9732, 20]-code), using

discarding factors / shortening the dual code based on linear OA(3¹⁰⁸, 9841, F₃, 19) (dual of [9841, 9733, 20]-code), using
- the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,1313,2625,…,3935}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [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(3¹⁰⁸, 4910, F₃, 3, 19) (dual of [(4910, 3), 14622, 20]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁰⁸, 4910, F₃, 4, 19) (dual of [(4910, 4), 19532, 20]-NRT-code)	[i]
3	Linear OOA(3¹⁰⁸, 4910, F₃, 5, 19) (dual of [(4910, 5), 24442, 20]-NRT-code)	[i]
4	Digital (89, 108, 4910)-net over F₃	[i]