Best Known (67−48, 67, s)-Nets in Base 81
(67−48, 67, 370)-Net over F81 — Constructive and digital
Digital (19, 67, 370)-net over F81, using
- t-expansion [i] based on digital (16, 67, 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
(67−48, 67, 26057)-Net in Base 81 — Upper bound on s
There is no (19, 67, 26058)-net in base 81, because
- the generalized Rao bound for nets shows that 81m ≥ 73 919391 344792 949452 090948 823810 622302 212915 526773 632383 601234 428748 308023 169002 897727 303717 923488 107820 109948 624803 002537 301761 > 8167 [i]