Best Known (43−27, 43, s)-Nets in Base 81
(43−27, 43, 370)-Net over F81 — Constructive and digital
Digital (16, 43, 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
(43−27, 43, 103792)-Net in Base 81 — Upper bound on s
There is no (16, 43, 103793)-net in base 81, because
- 1 times m-reduction [i] would yield (16, 42, 103793)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 143 353913 333933 375402 722591 544983 684084 472448 143790 857552 766462 153812 299616 667921 > 8142 [i]