Information on Result #526792

There is no linear OA(262, 68, F2, 32) (dual of [68, 6, 33]-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(263, 68, F2, 2, 33) (dual of [(68, 2), 73, 34]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(264, 68, F2, 2, 34) (dual of [(68, 2), 72, 35]-NRT-code) [i]
3No linear OOA(265, 68, F2, 2, 35) (dual of [(68, 2), 71, 36]-NRT-code) [i]
4No linear OOA(266, 68, F2, 2, 36) (dual of [(68, 2), 70, 37]-NRT-code) [i]
5No linear OOA(267, 68, F2, 2, 37) (dual of [(68, 2), 69, 38]-NRT-code) [i]
6No linear OOA(268, 68, F2, 2, 38) (dual of [(68, 2), 68, 39]-NRT-code) [i]
7No linear OOA(269, 68, F2, 2, 39) (dual of [(68, 2), 67, 40]-NRT-code) [i]
8No linear OOA(270, 68, F2, 2, 40) (dual of [(68, 2), 66, 41]-NRT-code) [i]
9No linear OOA(271, 68, F2, 2, 41) (dual of [(68, 2), 65, 42]-NRT-code) [i]
10No linear OOA(272, 68, F2, 2, 42) (dual of [(68, 2), 64, 43]-NRT-code) [i]
11No linear OOA(273, 68, F2, 2, 43) (dual of [(68, 2), 63, 44]-NRT-code) [i]
12No linear OOA(274, 68, F2, 2, 44) (dual of [(68, 2), 62, 45]-NRT-code) [i]
13No linear OOA(275, 68, F2, 2, 45) (dual of [(68, 2), 61, 46]-NRT-code) [i]
14No linear OOA(276, 68, F2, 2, 46) (dual of [(68, 2), 60, 47]-NRT-code) [i]
15No linear OOA(277, 68, F2, 2, 47) (dual of [(68, 2), 59, 48]-NRT-code) [i]
16No linear OOA(278, 68, F2, 2, 48) (dual of [(68, 2), 58, 49]-NRT-code) [i]
17No linear OOA(279, 68, F2, 2, 49) (dual of [(68, 2), 57, 50]-NRT-code) [i]
18No linear OOA(280, 68, F2, 2, 50) (dual of [(68, 2), 56, 51]-NRT-code) [i]
19No linear OOA(281, 68, F2, 2, 51) (dual of [(68, 2), 55, 52]-NRT-code) [i]
20No linear OOA(282, 68, F2, 2, 52) (dual of [(68, 2), 54, 53]-NRT-code) [i]
21No linear OOA(283, 68, F2, 2, 53) (dual of [(68, 2), 53, 54]-NRT-code) [i]
22No linear OOA(284, 68, F2, 2, 54) (dual of [(68, 2), 52, 55]-NRT-code) [i]
23No linear OOA(285, 68, F2, 2, 55) (dual of [(68, 2), 51, 56]-NRT-code) [i]
24No linear OOA(286, 68, F2, 2, 56) (dual of [(68, 2), 50, 57]-NRT-code) [i]
25No linear OOA(287, 68, F2, 2, 57) (dual of [(68, 2), 49, 58]-NRT-code) [i]
26No linear OOA(288, 68, F2, 2, 58) (dual of [(68, 2), 48, 59]-NRT-code) [i]
27No linear OOA(289, 68, F2, 2, 59) (dual of [(68, 2), 47, 60]-NRT-code) [i]
28No linear OOA(262, 68, F2, 2, 32) (dual of [(68, 2), 74, 33]-NRT-code) [i]Depth Reduction
29No linear OOA(262, 68, F2, 3, 32) (dual of [(68, 3), 142, 33]-NRT-code) [i]
30No linear OOA(262, 68, F2, 4, 32) (dual of [(68, 4), 210, 33]-NRT-code) [i]
31No linear OOA(262, 68, F2, 5, 32) (dual of [(68, 5), 278, 33]-NRT-code) [i]
32No linear OOA(262, 68, F2, 6, 32) (dual of [(68, 6), 346, 33]-NRT-code) [i]
33No linear OOA(262, 68, F2, 7, 32) (dual of [(68, 7), 414, 33]-NRT-code) [i]
34No linear OOA(262, 68, F2, 8, 32) (dual of [(68, 8), 482, 33]-NRT-code) [i]
35No digital (30, 62, 68)-net over F2 [i]Extracting Embedded Orthogonal Array