Best Known (148−38, 148, s)-Nets in Base 9
(148−38, 148, 1460)-Net over F9 — Constructive and digital
Digital (110, 148, 1460)-net over F9, using
- trace code for nets [i] based on digital (36, 74, 730)-net over F81, using
- net from sequence [i] based on digital (36, 729)-sequence over F81, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 36 and N(F) ≥ 730, using
- the Hermitian function field over F81 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 36 and N(F) ≥ 730, using
- net from sequence [i] based on digital (36, 729)-sequence over F81, using
(148−38, 148, 12035)-Net over F9 — Digital
Digital (110, 148, 12035)-net over F9, using
(148−38, 148, large)-Net in Base 9 — Upper bound on s
There is no (110, 148, large)-net in base 9, because
- 36 times m-reduction [i] would yield (110, 112, large)-net in base 9, but