Best Known (91−62, 91, s)-Nets in Base 32
(91−62, 91, 120)-Net over F32 — Constructive and digital
Digital (29, 91, 120)-net over F32, using
- t-expansion [i] based on digital (11, 91, 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
(91−62, 91, 192)-Net in Base 32 — Constructive
(29, 91, 192)-net in base 32, using
- base change [i] based on digital (3, 65, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
(91−62, 91, 257)-Net over F32 — Digital
Digital (29, 91, 257)-net over F32, using
- t-expansion [i] based on digital (28, 91, 257)-net over F32, using
- net from sequence [i] based on digital (28, 256)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 28 and N(F) ≥ 257, using
- net from sequence [i] based on digital (28, 256)-sequence over F32, using
(91−62, 91, 10479)-Net in Base 32 — Upper bound on s
There is no (29, 91, 10480)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 93094 161453 682712 936155 406207 615489 703387 620324 990479 203503 665968 113599 510762 104003 421091 342944 028179 225359 694106 446251 890524 244748 874362 > 3291 [i]