Information on Result #57750

There is no OA(644, 66, S64, 4), because bound for OAs with index unity

Mode: Bound.

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1No OA(645, 67, S64, 5) [i]Truncation
2No OA(646, 68, S64, 6) [i]
3No OA(647, 69, S64, 7) [i]
4No OA(648, 70, S64, 8) [i]
5No OA(649, 71, S64, 9) [i]
6No OA(6410, 72, S64, 10) [i]
7No OA(6411, 73, S64, 11) [i]
8No OA(6412, 74, S64, 12) [i]
9No OA(6413, 75, S64, 13) [i]
10No OA(6414, 76, S64, 14) [i]
11No OA(6415, 77, S64, 15) [i]
12No OA(6416, 78, S64, 16) [i]
13No OA(6417, 79, S64, 17) [i]
14No OA(6418, 80, S64, 18) [i]
15No OA(6419, 81, S64, 19) [i]
16No OA(6420, 82, S64, 20) [i]
17No OA(6421, 83, S64, 21) [i]
18No OA(6422, 84, S64, 22) [i]
19No OA(6423, 85, S64, 23) [i]
20No OA(6424, 86, S64, 24) [i]
21No OA(6425, 87, S64, 25) [i]
22No OA(6426, 88, S64, 26) [i]
23No OA(6427, 89, S64, 27) [i]
24No OA(6428, 90, S64, 28) [i]
25No OA(6429, 91, S64, 29) [i]
26No OA(6430, 92, S64, 30) [i]
27No OA(6431, 93, S64, 31) [i]
28No OA(6432, 94, S64, 32) [i]
29No OA(6433, 95, S64, 33) [i]
30No OA(6434, 96, S64, 34) [i]
31No OA(6435, 97, S64, 35) [i]
32No OA(6436, 98, S64, 36) [i]
33No OA(6437, 99, S64, 37) [i]
34No OA(6438, 100, S64, 38) [i]
35No OA(6439, 101, S64, 39) [i]
36No OA(6440, 102, S64, 40) [i]
37No OA(6441, 103, S64, 41) [i]
38No OA(6442, 104, S64, 42) [i]
39No OA(6443, 105, S64, 43) [i]
40No OA(6444, 106, S64, 44) [i]
41No OA(6445, 107, S64, 45) [i]
42No OA(6446, 108, S64, 46) [i]
43No OA(6447, 109, S64, 47) [i]
44No OA(6448, 110, S64, 48) [i]
45No OA(6449, 111, S64, 49) [i]
46No OA(6450, 112, S64, 50) [i]
47No OA(6451, 113, S64, 51) [i]
48No OA(6452, 114, S64, 52) [i]
49No OA(6453, 115, S64, 53) [i]
50No OA(6454, 116, S64, 54) [i]
51No OA(6455, 117, S64, 55) [i]
52No OA(6456, 118, S64, 56) [i]
53No OA(6457, 119, S64, 57) [i]
54No OA(6458, 120, S64, 58) [i]
55No OA(6459, 121, S64, 59) [i]
56No OA(6460, 122, S64, 60) [i]
57No OA(6461, 123, S64, 61) [i]
58No OA(6462, 124, S64, 62) [i]
59No OA(6463, 125, S64, 63) [i]
60No OOA(6469, 66, S64, 2, 69) [i]m-Reduction for OOAs
61No OOA(6470, 66, S64, 2, 70) [i]
62No OOA(644, 66, S64, 2, 4) [i]Depth Reduction
63No OOA(644, 66, S64, 3, 4) [i]
64No linear OA(6462, 66, F64, 62) (dual of [66, 4, 63]-code or 66-arc in PG(61,64)) [i]Dual of MDS Code Is Again an MDS Code