Information on Result #528066

There is no linear OA(441, 44, F4, 32) (dual of [44, 3, 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(442, 44, F4, 2, 33) (dual of [(44, 2), 46, 34]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(443, 44, F4, 2, 34) (dual of [(44, 2), 45, 35]-NRT-code) [i]
3No linear OOA(444, 44, F4, 2, 35) (dual of [(44, 2), 44, 36]-NRT-code) [i]
4No linear OOA(445, 44, F4, 2, 36) (dual of [(44, 2), 43, 37]-NRT-code) [i]
5No linear OOA(446, 44, F4, 2, 37) (dual of [(44, 2), 42, 38]-NRT-code) [i]
6No linear OOA(447, 44, F4, 2, 38) (dual of [(44, 2), 41, 39]-NRT-code) [i]
7No linear OOA(448, 44, F4, 2, 39) (dual of [(44, 2), 40, 40]-NRT-code) [i]
8No linear OOA(449, 44, F4, 2, 40) (dual of [(44, 2), 39, 41]-NRT-code) [i]
9No linear OOA(450, 44, F4, 2, 41) (dual of [(44, 2), 38, 42]-NRT-code) [i]
10No linear OOA(451, 44, F4, 2, 42) (dual of [(44, 2), 37, 43]-NRT-code) [i]
11No linear OOA(452, 44, F4, 2, 43) (dual of [(44, 2), 36, 44]-NRT-code) [i]
12No linear OOA(453, 44, F4, 2, 44) (dual of [(44, 2), 35, 45]-NRT-code) [i]
13No linear OOA(454, 44, F4, 2, 45) (dual of [(44, 2), 34, 46]-NRT-code) [i]
14No linear OOA(455, 44, F4, 2, 46) (dual of [(44, 2), 33, 47]-NRT-code) [i]
15No linear OOA(456, 44, F4, 2, 47) (dual of [(44, 2), 32, 48]-NRT-code) [i]
16No linear OOA(457, 44, F4, 2, 48) (dual of [(44, 2), 31, 49]-NRT-code) [i]
17No linear OOA(458, 44, F4, 2, 49) (dual of [(44, 2), 30, 50]-NRT-code) [i]
18No linear OOA(459, 44, F4, 2, 50) (dual of [(44, 2), 29, 51]-NRT-code) [i]
19No linear OOA(460, 44, F4, 2, 51) (dual of [(44, 2), 28, 52]-NRT-code) [i]
20No linear OOA(461, 44, F4, 2, 52) (dual of [(44, 2), 27, 53]-NRT-code) [i]
21No linear OOA(462, 44, F4, 2, 53) (dual of [(44, 2), 26, 54]-NRT-code) [i]
22No linear OOA(463, 44, F4, 2, 54) (dual of [(44, 2), 25, 55]-NRT-code) [i]
23No linear OOA(464, 44, F4, 2, 55) (dual of [(44, 2), 24, 56]-NRT-code) [i]
24No linear OOA(465, 44, F4, 2, 56) (dual of [(44, 2), 23, 57]-NRT-code) [i]
25No linear OOA(466, 44, F4, 2, 57) (dual of [(44, 2), 22, 58]-NRT-code) [i]
26No linear OOA(467, 44, F4, 2, 58) (dual of [(44, 2), 21, 59]-NRT-code) [i]
27No linear OOA(468, 44, F4, 2, 59) (dual of [(44, 2), 20, 60]-NRT-code) [i]
28No linear OOA(469, 44, F4, 2, 60) (dual of [(44, 2), 19, 61]-NRT-code) [i]
29No linear OOA(470, 44, F4, 2, 61) (dual of [(44, 2), 18, 62]-NRT-code) [i]
30No linear OOA(471, 44, F4, 2, 62) (dual of [(44, 2), 17, 63]-NRT-code) [i]
31No linear OOA(472, 44, F4, 2, 63) (dual of [(44, 2), 16, 64]-NRT-code) [i]
32No linear OOA(473, 44, F4, 2, 64) (dual of [(44, 2), 15, 65]-NRT-code) [i]
33No linear OOA(474, 44, F4, 2, 65) (dual of [(44, 2), 14, 66]-NRT-code) [i]
34No linear OOA(441, 44, F4, 2, 32) (dual of [(44, 2), 47, 33]-NRT-code) [i]Depth Reduction
35No linear OOA(441, 44, F4, 3, 32) (dual of [(44, 3), 91, 33]-NRT-code) [i]
36No digital (9, 41, 44)-net over F4 [i]Extracting Embedded Orthogonal Array
37No linear OA(442, 47, F4, 32) (dual of [47, 5, 33]-code) [i]Construction Y1 (Bound)