Information on Result #528616

There is no linear OA(561, 64, F5, 50) (dual of [64, 3, 51]-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(562, 64, F5, 2, 51) (dual of [(64, 2), 66, 52]-NRT-code) [i]m-Reduction for OOAs
2No linear OOA(563, 64, F5, 2, 52) (dual of [(64, 2), 65, 53]-NRT-code) [i]
3No linear OOA(564, 64, F5, 2, 53) (dual of [(64, 2), 64, 54]-NRT-code) [i]
4No linear OOA(565, 64, F5, 2, 54) (dual of [(64, 2), 63, 55]-NRT-code) [i]
5No linear OOA(566, 64, F5, 2, 55) (dual of [(64, 2), 62, 56]-NRT-code) [i]
6No linear OOA(567, 64, F5, 2, 56) (dual of [(64, 2), 61, 57]-NRT-code) [i]
7No linear OOA(568, 64, F5, 2, 57) (dual of [(64, 2), 60, 58]-NRT-code) [i]
8No linear OOA(569, 64, F5, 2, 58) (dual of [(64, 2), 59, 59]-NRT-code) [i]
9No linear OOA(570, 64, F5, 2, 59) (dual of [(64, 2), 58, 60]-NRT-code) [i]
10No linear OOA(571, 64, F5, 2, 60) (dual of [(64, 2), 57, 61]-NRT-code) [i]
11No linear OOA(572, 64, F5, 2, 61) (dual of [(64, 2), 56, 62]-NRT-code) [i]
12No linear OOA(573, 64, F5, 2, 62) (dual of [(64, 2), 55, 63]-NRT-code) [i]
13No linear OOA(574, 64, F5, 2, 63) (dual of [(64, 2), 54, 64]-NRT-code) [i]
14No linear OOA(575, 64, F5, 2, 64) (dual of [(64, 2), 53, 65]-NRT-code) [i]
15No linear OOA(576, 64, F5, 2, 65) (dual of [(64, 2), 52, 66]-NRT-code) [i]
16No linear OOA(577, 64, F5, 2, 66) (dual of [(64, 2), 51, 67]-NRT-code) [i]
17No linear OOA(578, 64, F5, 2, 67) (dual of [(64, 2), 50, 68]-NRT-code) [i]
18No linear OOA(579, 64, F5, 2, 68) (dual of [(64, 2), 49, 69]-NRT-code) [i]
19No linear OOA(580, 64, F5, 2, 69) (dual of [(64, 2), 48, 70]-NRT-code) [i]
20No linear OOA(581, 64, F5, 2, 70) (dual of [(64, 2), 47, 71]-NRT-code) [i]
21No linear OOA(582, 64, F5, 2, 71) (dual of [(64, 2), 46, 72]-NRT-code) [i]
22No linear OOA(583, 64, F5, 2, 72) (dual of [(64, 2), 45, 73]-NRT-code) [i]
23No linear OOA(584, 64, F5, 2, 73) (dual of [(64, 2), 44, 74]-NRT-code) [i]
24No linear OOA(585, 64, F5, 2, 74) (dual of [(64, 2), 43, 75]-NRT-code) [i]
25No linear OOA(586, 64, F5, 2, 75) (dual of [(64, 2), 42, 76]-NRT-code) [i]
26No linear OOA(587, 64, F5, 2, 76) (dual of [(64, 2), 41, 77]-NRT-code) [i]
27No linear OOA(588, 64, F5, 2, 77) (dual of [(64, 2), 40, 78]-NRT-code) [i]
28No linear OOA(589, 64, F5, 2, 78) (dual of [(64, 2), 39, 79]-NRT-code) [i]
29No linear OOA(590, 64, F5, 2, 79) (dual of [(64, 2), 38, 80]-NRT-code) [i]
30No linear OOA(591, 64, F5, 2, 80) (dual of [(64, 2), 37, 81]-NRT-code) [i]
31No linear OOA(592, 64, F5, 2, 81) (dual of [(64, 2), 36, 82]-NRT-code) [i]
32No linear OOA(593, 64, F5, 2, 82) (dual of [(64, 2), 35, 83]-NRT-code) [i]
33No linear OOA(594, 64, F5, 2, 83) (dual of [(64, 2), 34, 84]-NRT-code) [i]
34No linear OOA(595, 64, F5, 2, 84) (dual of [(64, 2), 33, 85]-NRT-code) [i]
35No linear OOA(596, 64, F5, 2, 85) (dual of [(64, 2), 32, 86]-NRT-code) [i]
36No linear OOA(597, 64, F5, 2, 86) (dual of [(64, 2), 31, 87]-NRT-code) [i]
37No linear OOA(598, 64, F5, 2, 87) (dual of [(64, 2), 30, 88]-NRT-code) [i]
38No linear OOA(599, 64, F5, 2, 88) (dual of [(64, 2), 29, 89]-NRT-code) [i]
39No linear OOA(5100, 64, F5, 2, 89) (dual of [(64, 2), 28, 90]-NRT-code) [i]
40No linear OOA(5101, 64, F5, 2, 90) (dual of [(64, 2), 27, 91]-NRT-code) [i]
41No linear OOA(5102, 64, F5, 2, 91) (dual of [(64, 2), 26, 92]-NRT-code) [i]
42No linear OOA(5103, 64, F5, 2, 92) (dual of [(64, 2), 25, 93]-NRT-code) [i]
43No linear OOA(5104, 64, F5, 2, 93) (dual of [(64, 2), 24, 94]-NRT-code) [i]
44No linear OOA(5105, 64, F5, 2, 94) (dual of [(64, 2), 23, 95]-NRT-code) [i]
45No linear OOA(5106, 64, F5, 2, 95) (dual of [(64, 2), 22, 96]-NRT-code) [i]
46No linear OOA(5107, 64, F5, 2, 96) (dual of [(64, 2), 21, 97]-NRT-code) [i]
47No linear OOA(5108, 64, F5, 2, 97) (dual of [(64, 2), 20, 98]-NRT-code) [i]
48No linear OOA(5109, 64, F5, 2, 98) (dual of [(64, 2), 19, 99]-NRT-code) [i]
49No linear OOA(5110, 64, F5, 2, 99) (dual of [(64, 2), 18, 100]-NRT-code) [i]
50No linear OOA(5111, 64, F5, 2, 100) (dual of [(64, 2), 17, 101]-NRT-code) [i]
51No linear OOA(5112, 64, F5, 2, 101) (dual of [(64, 2), 16, 102]-NRT-code) [i]
52No linear OOA(561, 64, F5, 2, 50) (dual of [(64, 2), 67, 51]-NRT-code) [i]Depth Reduction
53No linear OOA(561, 64, F5, 3, 50) (dual of [(64, 3), 131, 51]-NRT-code) [i]
54No digital (11, 61, 64)-net over F5 [i]Extracting Embedded Orthogonal Array
55No linear OA(562, 68, F5, 50) (dual of [68, 6, 51]-code) [i]Construction Y1 (Bound)