Information on Result #527480

There is no linear OA(339, 43, F3, 27) (dual of [43, 4, 28]-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(340, 43, F3, 2, 28) (dual of [(43, 2), 46, 29]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(341, 43, F3, 2, 29) (dual of [(43, 2), 45, 30]-NRT-code) [i]
3No linear OOA(342, 43, F3, 2, 30) (dual of [(43, 2), 44, 31]-NRT-code) [i]
4No linear OOA(343, 43, F3, 2, 31) (dual of [(43, 2), 43, 32]-NRT-code) [i]
5No linear OOA(344, 43, F3, 2, 32) (dual of [(43, 2), 42, 33]-NRT-code) [i]
6No linear OOA(345, 43, F3, 2, 33) (dual of [(43, 2), 41, 34]-NRT-code) [i]
7No linear OOA(346, 43, F3, 2, 34) (dual of [(43, 2), 40, 35]-NRT-code) [i]
8No linear OOA(347, 43, F3, 2, 35) (dual of [(43, 2), 39, 36]-NRT-code) [i]
9No linear OOA(348, 43, F3, 2, 36) (dual of [(43, 2), 38, 37]-NRT-code) [i]
10No linear OOA(349, 43, F3, 2, 37) (dual of [(43, 2), 37, 38]-NRT-code) [i]
11No linear OOA(350, 43, F3, 2, 38) (dual of [(43, 2), 36, 39]-NRT-code) [i]
12No linear OOA(351, 43, F3, 2, 39) (dual of [(43, 2), 35, 40]-NRT-code) [i]
13No linear OOA(352, 43, F3, 2, 40) (dual of [(43, 2), 34, 41]-NRT-code) [i]
14No linear OOA(353, 43, F3, 2, 41) (dual of [(43, 2), 33, 42]-NRT-code) [i]
15No linear OOA(354, 43, F3, 2, 42) (dual of [(43, 2), 32, 43]-NRT-code) [i]
16No linear OOA(355, 43, F3, 2, 43) (dual of [(43, 2), 31, 44]-NRT-code) [i]
17No linear OOA(356, 43, F3, 2, 44) (dual of [(43, 2), 30, 45]-NRT-code) [i]
18No linear OOA(357, 43, F3, 2, 45) (dual of [(43, 2), 29, 46]-NRT-code) [i]
19No linear OOA(358, 43, F3, 2, 46) (dual of [(43, 2), 28, 47]-NRT-code) [i]
20No linear OOA(359, 43, F3, 2, 47) (dual of [(43, 2), 27, 48]-NRT-code) [i]
21No linear OOA(360, 43, F3, 2, 48) (dual of [(43, 2), 26, 49]-NRT-code) [i]
22No linear OOA(361, 43, F3, 2, 49) (dual of [(43, 2), 25, 50]-NRT-code) [i]
23No linear OOA(362, 43, F3, 2, 50) (dual of [(43, 2), 24, 51]-NRT-code) [i]
24No linear OOA(363, 43, F3, 2, 51) (dual of [(43, 2), 23, 52]-NRT-code) [i]
25No linear OOA(364, 43, F3, 2, 52) (dual of [(43, 2), 22, 53]-NRT-code) [i]
26No linear OOA(365, 43, F3, 2, 53) (dual of [(43, 2), 21, 54]-NRT-code) [i]
27No linear OOA(366, 43, F3, 2, 54) (dual of [(43, 2), 20, 55]-NRT-code) [i]
28No linear OOA(339, 43, F3, 2, 27) (dual of [(43, 2), 47, 28]-NRT-code) [i]Depth Reduction
29No linear OOA(339, 43, F3, 3, 27) (dual of [(43, 3), 90, 28]-NRT-code) [i]
30No linear OOA(339, 43, F3, 4, 27) (dual of [(43, 4), 133, 28]-NRT-code) [i]
31No linear OOA(339, 43, F3, 5, 27) (dual of [(43, 5), 176, 28]-NRT-code) [i]
32No digital (12, 39, 43)-net over F3 [i]Extracting Embedded Orthogonal Array
33No linear OA(340, 47, F3, 27) (dual of [47, 7, 28]-code) [i]Construction Y1 (Bound)