Best Known (39−23, 39, s)-Nets in Base 81
(39−23, 39, 370)-Net over F81 — Constructive and digital
Digital (16, 39, 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
(39−23, 39, 240360)-Net in Base 81 — Upper bound on s
There is no (16, 39, 240361)-net in base 81, because
- 1 times m-reduction [i] would yield (16, 38, 240361)-net in base 81, but
- the generalized Rao bound for nets shows that 81m ≥ 3 329969 613866 507316 089486 310337 027758 023238 193937 848038 346901 366118 429681 > 8138 [i]