Information on Result #526759

There is no linear OA(245, 50, F2, 24) (dual of [50, 5, 25]-code), because Griesmer bound

Mode: Bound (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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No linear OOA(246, 50, F2, 2, 25) (dual of [(50, 2), 54, 26]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(247, 50, F2, 2, 26) (dual of [(50, 2), 53, 27]-NRT-code) [i]
3No linear OOA(248, 50, F2, 2, 27) (dual of [(50, 2), 52, 28]-NRT-code) [i]
4No linear OOA(249, 50, F2, 2, 28) (dual of [(50, 2), 51, 29]-NRT-code) [i]
5No linear OOA(250, 50, F2, 2, 29) (dual of [(50, 2), 50, 30]-NRT-code) [i]
6No linear OOA(251, 50, F2, 2, 30) (dual of [(50, 2), 49, 31]-NRT-code) [i]
7No linear OOA(252, 50, F2, 2, 31) (dual of [(50, 2), 48, 32]-NRT-code) [i]
8No linear OOA(253, 50, F2, 2, 32) (dual of [(50, 2), 47, 33]-NRT-code) [i]
9No linear OOA(254, 50, F2, 2, 33) (dual of [(50, 2), 46, 34]-NRT-code) [i]
10No linear OOA(255, 50, F2, 2, 34) (dual of [(50, 2), 45, 35]-NRT-code) [i]
11No linear OOA(256, 50, F2, 2, 35) (dual of [(50, 2), 44, 36]-NRT-code) [i]
12No linear OOA(257, 50, F2, 2, 36) (dual of [(50, 2), 43, 37]-NRT-code) [i]
13No linear OOA(258, 50, F2, 2, 37) (dual of [(50, 2), 42, 38]-NRT-code) [i]
14No linear OOA(259, 50, F2, 2, 38) (dual of [(50, 2), 41, 39]-NRT-code) [i]
15No linear OOA(260, 50, F2, 2, 39) (dual of [(50, 2), 40, 40]-NRT-code) [i]
16No linear OOA(261, 50, F2, 2, 40) (dual of [(50, 2), 39, 41]-NRT-code) [i]
17No linear OOA(262, 50, F2, 2, 41) (dual of [(50, 2), 38, 42]-NRT-code) [i]
18No linear OOA(263, 50, F2, 2, 42) (dual of [(50, 2), 37, 43]-NRT-code) [i]
19No linear OOA(264, 50, F2, 2, 43) (dual of [(50, 2), 36, 44]-NRT-code) [i]
20No linear OOA(265, 50, F2, 2, 44) (dual of [(50, 2), 35, 45]-NRT-code) [i]
21No linear OOA(245, 50, F2, 2, 24) (dual of [(50, 2), 55, 25]-NRT-code) [i]Depth Reduction
22No linear OOA(245, 50, F2, 3, 24) (dual of [(50, 3), 105, 25]-NRT-code) [i]
23No linear OOA(245, 50, F2, 4, 24) (dual of [(50, 4), 155, 25]-NRT-code) [i]
24No linear OOA(245, 50, F2, 5, 24) (dual of [(50, 5), 205, 25]-NRT-code) [i]
25No linear OOA(245, 50, F2, 6, 24) (dual of [(50, 6), 255, 25]-NRT-code) [i]
26No linear OOA(245, 50, F2, 7, 24) (dual of [(50, 7), 305, 25]-NRT-code) [i]
27No linear OOA(245, 50, F2, 8, 24) (dual of [(50, 8), 355, 25]-NRT-code) [i]
28No digital (21, 45, 50)-net over F2 [i]Extracting Embedded Orthogonal Array