MinT - Information on Result #813680

Information on Result #813680

Linear OOA(3¹¹⁷, 4920, F₃, 2, 20) (dual of [(4920, 2), 9723, 21]-NRT-code), using OOA 2-folding based on linear OA(3¹¹⁷, 9840, F₃, 20) (dual of [9840, 9723, 21]-code), using

discarding factors / shortening the dual code based on linear OA(3¹¹⁷, 9841, F₃, 20) (dual of [9841, 9724, 21]-code), using
- the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,3,5,…,39}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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(3¹¹⁷, 4920, F₃, 3, 20) (dual of [(4920, 3), 14643, 21]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹¹⁷, 4920, F₃, 4, 20) (dual of [(4920, 4), 19563, 21]-NRT-code)	[i]
3	Linear OOA(3¹¹⁷, 4920, F₃, 5, 20) (dual of [(4920, 5), 24483, 21]-NRT-code)	[i]
4	Digital (97, 117, 4920)-net over F₃	[i]