Information on Result #526743

There is no linear OA(237, 42, F2, 20) (dual of [42, 5, 21]-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(238, 42, F2, 2, 21) (dual of [(42, 2), 46, 22]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(239, 42, F2, 2, 22) (dual of [(42, 2), 45, 23]-NRT-code) [i]
3No linear OOA(240, 42, F2, 2, 23) (dual of [(42, 2), 44, 24]-NRT-code) [i]
4No linear OOA(241, 42, F2, 2, 24) (dual of [(42, 2), 43, 25]-NRT-code) [i]
5No linear OOA(242, 42, F2, 2, 25) (dual of [(42, 2), 42, 26]-NRT-code) [i]
6No linear OOA(243, 42, F2, 2, 26) (dual of [(42, 2), 41, 27]-NRT-code) [i]
7No linear OOA(244, 42, F2, 2, 27) (dual of [(42, 2), 40, 28]-NRT-code) [i]
8No linear OOA(245, 42, F2, 2, 28) (dual of [(42, 2), 39, 29]-NRT-code) [i]
9No linear OOA(246, 42, F2, 2, 29) (dual of [(42, 2), 38, 30]-NRT-code) [i]
10No linear OOA(247, 42, F2, 2, 30) (dual of [(42, 2), 37, 31]-NRT-code) [i]
11No linear OOA(248, 42, F2, 2, 31) (dual of [(42, 2), 36, 32]-NRT-code) [i]
12No linear OOA(249, 42, F2, 2, 32) (dual of [(42, 2), 35, 33]-NRT-code) [i]
13No linear OOA(250, 42, F2, 2, 33) (dual of [(42, 2), 34, 34]-NRT-code) [i]
14No linear OOA(251, 42, F2, 2, 34) (dual of [(42, 2), 33, 35]-NRT-code) [i]
15No linear OOA(252, 42, F2, 2, 35) (dual of [(42, 2), 32, 36]-NRT-code) [i]
16No linear OOA(253, 42, F2, 2, 36) (dual of [(42, 2), 31, 37]-NRT-code) [i]
17No linear OOA(254, 42, F2, 2, 37) (dual of [(42, 2), 30, 38]-NRT-code) [i]
18No linear OOA(237, 42, F2, 2, 20) (dual of [(42, 2), 47, 21]-NRT-code) [i]Depth Reduction
19No linear OOA(237, 42, F2, 3, 20) (dual of [(42, 3), 89, 21]-NRT-code) [i]
20No linear OOA(237, 42, F2, 4, 20) (dual of [(42, 4), 131, 21]-NRT-code) [i]
21No linear OOA(237, 42, F2, 5, 20) (dual of [(42, 5), 173, 21]-NRT-code) [i]
22No linear OOA(237, 42, F2, 6, 20) (dual of [(42, 6), 215, 21]-NRT-code) [i]
23No linear OOA(237, 42, F2, 7, 20) (dual of [(42, 7), 257, 21]-NRT-code) [i]
24No linear OOA(237, 42, F2, 8, 20) (dual of [(42, 8), 299, 21]-NRT-code) [i]
25No digital (17, 37, 42)-net over F2 [i]Extracting Embedded Orthogonal Array