Best Known (44, 44+52, s)-Nets in Base 32
(44, 44+52, 218)-Net over F32 — Constructive and digital
Digital (44, 96, 218)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (7, 33, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- digital (11, 63, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- digital (7, 33, 98)-net over F32, using
(44, 44+52, 434)-Net over F32 — Digital
Digital (44, 96, 434)-net over F32, using
(44, 44+52, 513)-Net in Base 32 — Constructive
(44, 96, 513)-net in base 32, using
- base change [i] based on digital (28, 80, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
(44, 44+52, 122846)-Net in Base 32 — Upper bound on s
There is no (44, 96, 122847)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3 122406 188045 900913 592047 858575 889562 776786 884628 355158 078220 925338 847118 166841 610344 753213 297514 797225 457338 831494 910737 448417 178272 492905 485545 > 3296 [i]