Best Known (25, 65, s)-Nets in Base 81
(25, 65, 370)-Net over F81 — Constructive and digital
Digital (25, 65, 370)-net over F81, using
- t-expansion [i] based on digital (16, 65, 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
(25, 65, 392)-Net over F81 — Digital
Digital (25, 65, 392)-net over F81, using
- net from sequence [i] based on digital (25, 391)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 25 and N(F) ≥ 392, using
(25, 65, 165488)-Net in Base 81 — Upper bound on s
There is no (25, 65, 165489)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 11260 805973 054732 860080 595686 427731 839504 920446 179794 288324 739313 010383 846614 280698 354782 377335 862880 012544 514765 974050 062401 > 8165 [i]