Best Known (17, 80, s)-Nets in Base 81
(17, 80, 370)-Net over F81 — Constructive and digital
Digital (17, 80, 370)-net over F81, using
- t-expansion [i] based on digital (16, 80, 370)-net over F81, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- net from sequence [i] based on digital (16, 369)-sequence over F81, using
(17, 80, 11321)-Net in Base 81 — Upper bound on s
There is no (17, 80, 11322)-net in base 81, because
- 1 times m-reduction [i] would yield (17, 79, 11322)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 5 897469 881914 515888 955829 433591 871954 989043 826411 236973 658499 413122 714692 247181 694106 386216 199055 836631 741263 229460 491329 623473 261457 319984 095127 566561 > 8179 [i]