Best Known (24−15, 24, s)-Nets in Base 4
(24−15, 24, 22)-Net over F4 — Constructive and digital
Digital (9, 24, 22)-net over F4, using
- net from sequence [i] based on digital (9, 21)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 22, using
(24−15, 24, 26)-Net over F4 — Digital
Digital (9, 24, 26)-net over F4, using
- net from sequence [i] based on digital (9, 25)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 9 and N(F) ≥ 26, using
(24−15, 24, 101)-Net in Base 4 — Upper bound on s
There is no (9, 24, 102)-net in base 4, because
- 1 times m-reduction [i] would yield (9, 23, 102)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 70 733840 068000 > 423 [i]