Information on Result #517570

There is no (5, 51, 1503)-net in base 64, because the generalized Rao bound for nets shows that 64m ≥ 131 077510 839072 649489 575317 954450 491451 271836 274122 635116 702982 235846 088730 419042 177697 923400 > 6451

Mode: Bound.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1No (5, 52, 1503)-net in base 64 [i]m-Reduction
2No (5, 53, 1503)-net in base 64 [i]
3No (5, 54, 1503)-net in base 64 [i]
4No (5, 55, 1503)-net in base 64 [i]
5No (5, 56, 1503)-net in base 64 [i]
6No (5, 57, 1503)-net in base 64 [i]
7No (5, 58, 1503)-net in base 64 [i]
8No (5, 59, 1503)-net in base 64 [i]
9No (5, 60, 1503)-net in base 64 [i]
10No (5, 61, 1503)-net in base 64 [i]
11No (5, 62, 1503)-net in base 64 [i]
12No (5, 63, 1503)-net in base 64 [i]
13No (5, 64, 1503)-net in base 64 [i]
14No (5, 65, 1503)-net in base 64 [i]
15No (5, 66, 1503)-net in base 64 [i]
16No (5, 67, 1503)-net in base 64 [i]
17No (5, 68, 1503)-net in base 64 [i]
18No (5, 69, 1503)-net in base 64 [i]
19No (5, 70, 1503)-net in base 64 [i]
20No (5, 71, 1503)-net in base 64 [i]
21No (5, 72, 1503)-net in base 64 [i]
22No (5, 73, 1503)-net in base 64 [i]
23No (5, 74, 1503)-net in base 64 [i]
24No (5, 75, 1503)-net in base 64 [i]
25No (5, 76, 1503)-net in base 64 [i]
26No (5, 77, 1503)-net in base 64 [i]
27No (5, 78, 1503)-net in base 64 [i]
28No (5, 79, 1503)-net in base 64 [i]
29No (5, 80, 1503)-net in base 64 [i]
30No (5, 81, 1503)-net in base 64 [i]
31No (5, 82, 1503)-net in base 64 [i]
32No (5, 83, 1503)-net in base 64 [i]
33No (5, 84, 1503)-net in base 64 [i]
34No (5, 85, 1503)-net in base 64 [i]
35No (5, 86, 1503)-net in base 64 [i]
36No (5, 87, 1503)-net in base 64 [i]
37No (5, 88, 1503)-net in base 64 [i]
38No (5, 89, 1503)-net in base 64 [i]
39No (5, 90, 1503)-net in base 64 [i]
40No (5, 91, 1503)-net in base 64 [i]