Best Known (93−30, 93, s)-Nets in Base 4
(93−30, 93, 240)-Net over F4 — Constructive and digital
Digital (63, 93, 240)-net over F4, using
- trace code for nets [i] based on digital (1, 31, 80)-net over F64, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 1 and N(F) ≥ 80, using
- net from sequence [i] based on digital (1, 79)-sequence over F64, using
(93−30, 93, 339)-Net over F4 — Digital
Digital (63, 93, 339)-net over F4, using
(93−30, 93, 11560)-Net in Base 4 — Upper bound on s
There is no (63, 93, 11561)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 98 176101 852060 884613 814146 688098 046386 936575 020341 446560 > 493 [i]