Best Known (107, 107+32, s)-Nets in Base 9
(107, 107+32, 1460)-Net over F9 — Constructive and digital
Digital (107, 139, 1460)-net over F9, using
- 3 times m-reduction [i] based on digital (107, 142, 1460)-net over F9, using
- trace code for nets [i] based on digital (36, 71, 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
- trace code for nets [i] based on digital (36, 71, 730)-net over F81, using
(107, 107+32, 29503)-Net over F9 — Digital
Digital (107, 139, 29503)-net over F9, using
(107, 107+32, large)-Net in Base 9 — Upper bound on s
There is no (107, 139, large)-net in base 9, because
- 30 times m-reduction [i] would yield (107, 109, large)-net in base 9, but