Best Known (21, 21+26, s)-Nets in Base 81
(21, 21+26, 370)-Net over F81 — Constructive and digital
Digital (21, 47, 370)-net over F81, using
- t-expansion [i] based on digital (16, 47, 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
(21, 21+26, 505)-Net over F81 — Digital
Digital (21, 47, 505)-net over F81, using
(21, 21+26, 562624)-Net in Base 81 — Upper bound on s
There is no (21, 47, 562625)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 499802 806866 841592 949169 476319 594064 834540 138173 458336 069082 855997 162952 380575 711924 330001 > 8147 [i]