MinT - Information on Result #2233843

Information on Result #2233843

Linear OA(3¹⁴³, 9840, F₃, 24) (dual of [9840, 9697, 25]-code), using 1 times truncation based on linear OA(3¹⁴⁴, 9841, F₃, 25) (dual of [9841, 9697, 26]-code), using

the BCH-code C(I) with length 9841Â | 3⁹âˆ’1, defining interval IÂ =Â {1,1313,2625,…,1966}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [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, 5417, F₃, 2, 24) (dual of [(5417, 2), 10691, 25]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁴³, 5417, F₃, 3, 24) (dual of [(5417, 3), 16108, 25]-NRT-code)	[i]
3	Linear OOA(3¹⁴³, 5417, F₃, 4, 24) (dual of [(5417, 4), 21525, 25]-NRT-code)	[i]
4	Linear OOA(3¹⁴³, 5417, F₃, 5, 24) (dual of [(5417, 5), 26942, 25]-NRT-code)	[i]
5	Digital (119, 143, 5417)-net over F₃	[i]
6	Linear OOA(3¹⁴³, 4920, F₃, 2, 24) (dual of [(4920, 2), 9697, 25]-NRT-code)	[i]		OOA Folding
7	Linear OOA(3¹⁴³, 3280, F₃, 3, 24) (dual of [(3280, 3), 9697, 25]-NRT-code)	[i]
8	Linear OOA(3¹⁴³, 2460, F₃, 4, 24) (dual of [(2460, 4), 9697, 25]-NRT-code)	[i]
9	Linear OOA(3¹⁴³, 1968, F₃, 5, 24) (dual of [(1968, 5), 9697, 25]-NRT-code)	[i]
10	Linear OOA(3¹⁴³, 820, F₃, 24, 24) (dual of [(820, 24), 19537, 25]-NRT-code)	[i]		OA Folding and Stacking