MinT - Information on Result #880645

Information on Result #880645

Linear OOA(256³, 65793, F₂₅₆, 2, 2) (dual of [(65793, 2), 131583, 3]-NRT-code), using appending kth column based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using

Hamming code H(3,256) [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(256¹³, 4260094, F₂₅₆, 2, 4) (dual of [(4260094, 2), 8520175, 5]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
2	Linear OOA(256¹⁶, 4260094, F₂₅₆, 2, 5) (dual of [(4260094, 2), 8520172, 6]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
3	Linear OOA(256³⁶, large, F₂₅₆, 2, 9)	[i]	Generalized (u,Â u+v)-Construction for OOAs
4	Linear OOA(256³¹, 8355969, F₂₅₆, 2, 8) (dual of [(8355969, 2), 16711907, 9]-NRT-code)	[i]
5	Linear OOA(256³¹, 8355969, F₂₅₆, 2, 8) (dual of [(8355969, 2), 16711907, 9]-NRT-code)	[i]
6	Linear OOA(256³², large, F₂₅₆, 2, 8)	[i]
7	Linear OOA(256³², large, F₂₅₆, 2, 8)	[i]
8	Linear OOA(256²⁴, large, F₂₅₆, 2, 7)	[i]
9	Linear OOA(256²¹, large, F₂₅₆, 2, 6)	[i]
10	Linear OOA(256¹³, 8355840, F₂₅₆, 2, 5) (dual of [(8355840, 2), 16711667, 6]-NRT-code)	[i]
11	Linear OOA(256¹⁴, 8356096, F₂₅₆, 2, 5) (dual of [(8356096, 2), 16712178, 6]-NRT-code)	[i]
12	Linear OOA(256¹⁵, large, F₂₅₆, 2, 5)	[i]
13	Linear OOA(256¹¹, 8355840, F₂₅₆, 2, 4) (dual of [(8355840, 2), 16711669, 5]-NRT-code)	[i]
14	Linear OOA(256¹², large, F₂₅₆, 2, 4)	[i]
15	Linear OOA(256³, 65793, F₂₅₆, 3, 2) (dual of [(65793, 3), 197376, 3]-NRT-code)	[i]	Appending Arbitrary Columns
16	Linear OOA(256³, 65793, F₂₅₆, 4, 2) (dual of [(65793, 4), 263169, 3]-NRT-code)	[i]
17	Linear OOA(256³, 65793, F₂₅₆, 5, 2) (dual of [(65793, 5), 328962, 3]-NRT-code)	[i]
18	Linear OOA(256³, 65793, F₂₅₆, 6, 2) (dual of [(65793, 6), 394755, 3]-NRT-code)	[i]