Information on Result #505959

There is no (27, 157, 503)-net in base 8, because the generalized Rao bound for nets shows that 8m ≥ 6252 405981 624735 318231 904139 143556 913561 824651 858378 143178 859892 009294 431150 085144 868249 581870 432507 375686 473585 361068 102909 505869 323664 914818 > 8157

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 (27, 158, 503)-net in base 8 [i]m-Reduction
2No (27, 159, 503)-net in base 8 [i]
3No (27, 160, 503)-net in base 8 [i]
4No (27, 161, 503)-net in base 8 [i]
5No (27, 162, 503)-net in base 8 [i]
6No (27, 163, 503)-net in base 8 [i]
7No (27, 164, 503)-net in base 8 [i]
8No (27, 165, 503)-net in base 8 [i]
9No (27, 166, 503)-net in base 8 [i]
10No (27, 167, 503)-net in base 8 [i]
11No (27, 168, 503)-net in base 8 [i]
12No (27, 169, 503)-net in base 8 [i]
13No (27, 170, 503)-net in base 8 [i]
14No (27, 171, 503)-net in base 8 [i]
15No (27, 172, 503)-net in base 8 [i]
16No (27, 173, 503)-net in base 8 [i]