Best Known (17, 55, s)-Nets in Base 81
(17, 55, 370)-Net over F81 — Constructive and digital
Digital (17, 55, 370)-net over F81, using
- t-expansion [i] based on digital (16, 55, 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, 55, 33156)-Net in Base 81 — Upper bound on s
There is no (17, 55, 33157)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 926 494666 387003 672298 463365 552433 100465 664935 188325 750247 827895 536101 809762 221324 295069 138437 397292 593841 > 8155 [i]