Information on Result #526831

There is no linear OA(276, 81, F2, 40) (dual of [81, 5, 41]-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(277, 81, F2, 2, 41) (dual of [(81, 2), 85, 42]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(278, 81, F2, 2, 42) (dual of [(81, 2), 84, 43]-NRT-code) [i]
3No linear OOA(279, 81, F2, 2, 43) (dual of [(81, 2), 83, 44]-NRT-code) [i]
4No linear OOA(280, 81, F2, 2, 44) (dual of [(81, 2), 82, 45]-NRT-code) [i]
5No linear OOA(281, 81, F2, 2, 45) (dual of [(81, 2), 81, 46]-NRT-code) [i]
6No linear OOA(282, 81, F2, 2, 46) (dual of [(81, 2), 80, 47]-NRT-code) [i]
7No linear OOA(283, 81, F2, 2, 47) (dual of [(81, 2), 79, 48]-NRT-code) [i]
8No linear OOA(284, 81, F2, 2, 48) (dual of [(81, 2), 78, 49]-NRT-code) [i]
9No linear OOA(285, 81, F2, 2, 49) (dual of [(81, 2), 77, 50]-NRT-code) [i]
10No linear OOA(286, 81, F2, 2, 50) (dual of [(81, 2), 76, 51]-NRT-code) [i]
11No linear OOA(287, 81, F2, 2, 51) (dual of [(81, 2), 75, 52]-NRT-code) [i]
12No linear OOA(288, 81, F2, 2, 52) (dual of [(81, 2), 74, 53]-NRT-code) [i]
13No linear OOA(289, 81, F2, 2, 53) (dual of [(81, 2), 73, 54]-NRT-code) [i]
14No linear OOA(290, 81, F2, 2, 54) (dual of [(81, 2), 72, 55]-NRT-code) [i]
15No linear OOA(291, 81, F2, 2, 55) (dual of [(81, 2), 71, 56]-NRT-code) [i]
16No linear OOA(292, 81, F2, 2, 56) (dual of [(81, 2), 70, 57]-NRT-code) [i]
17No linear OOA(293, 81, F2, 2, 57) (dual of [(81, 2), 69, 58]-NRT-code) [i]
18No linear OOA(294, 81, F2, 2, 58) (dual of [(81, 2), 68, 59]-NRT-code) [i]
19No linear OOA(295, 81, F2, 2, 59) (dual of [(81, 2), 67, 60]-NRT-code) [i]
20No linear OOA(296, 81, F2, 2, 60) (dual of [(81, 2), 66, 61]-NRT-code) [i]
21No linear OOA(297, 81, F2, 2, 61) (dual of [(81, 2), 65, 62]-NRT-code) [i]
22No linear OOA(298, 81, F2, 2, 62) (dual of [(81, 2), 64, 63]-NRT-code) [i]
23No linear OOA(299, 81, F2, 2, 63) (dual of [(81, 2), 63, 64]-NRT-code) [i]
24No linear OOA(2100, 81, F2, 2, 64) (dual of [(81, 2), 62, 65]-NRT-code) [i]
25No linear OOA(2101, 81, F2, 2, 65) (dual of [(81, 2), 61, 66]-NRT-code) [i]
26No linear OOA(2102, 81, F2, 2, 66) (dual of [(81, 2), 60, 67]-NRT-code) [i]
27No linear OOA(2103, 81, F2, 2, 67) (dual of [(81, 2), 59, 68]-NRT-code) [i]
28No linear OOA(2104, 81, F2, 2, 68) (dual of [(81, 2), 58, 69]-NRT-code) [i]
29No linear OOA(2105, 81, F2, 2, 69) (dual of [(81, 2), 57, 70]-NRT-code) [i]
30No linear OOA(2106, 81, F2, 2, 70) (dual of [(81, 2), 56, 71]-NRT-code) [i]
31No linear OOA(276, 81, F2, 2, 40) (dual of [(81, 2), 86, 41]-NRT-code) [i]Depth Reduction
32No linear OOA(276, 81, F2, 3, 40) (dual of [(81, 3), 167, 41]-NRT-code) [i]
33No linear OOA(276, 81, F2, 4, 40) (dual of [(81, 4), 248, 41]-NRT-code) [i]
34No linear OOA(276, 81, F2, 5, 40) (dual of [(81, 5), 329, 41]-NRT-code) [i]
35No linear OOA(276, 81, F2, 6, 40) (dual of [(81, 6), 410, 41]-NRT-code) [i]
36No linear OOA(276, 81, F2, 7, 40) (dual of [(81, 7), 491, 41]-NRT-code) [i]
37No linear OOA(276, 81, F2, 8, 40) (dual of [(81, 8), 572, 41]-NRT-code) [i]
38No digital (36, 76, 81)-net over F2 [i]Extracting Embedded Orthogonal Array