Best Known (110−72, 110, s)-Nets in Base 32
(110−72, 110, 120)-Net over F32 — Constructive and digital
Digital (38, 110, 120)-net over F32, using
- t-expansion [i] based on digital (11, 110, 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
(110−72, 110, 216)-Net in Base 32 — Constructive
(38, 110, 216)-net in base 32, using
- 322 times duplication [i] based on (36, 108, 216)-net in base 32, using
- base change [i] based on (18, 90, 216)-net in base 64, using
- 1 times m-reduction [i] based on (18, 91, 216)-net in base 64, using
- base change [i] based on digital (5, 78, 216)-net over F128, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- net from sequence [i] based on digital (5, 215)-sequence over F128, using
- base change [i] based on digital (5, 78, 216)-net over F128, using
- 1 times m-reduction [i] based on (18, 91, 216)-net in base 64, using
- base change [i] based on (18, 90, 216)-net in base 64, using
(110−72, 110, 291)-Net over F32 — Digital
Digital (38, 110, 291)-net over F32, using
- net from sequence [i] based on digital (38, 290)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 38 and N(F) ≥ 291, using
(110−72, 110, 18281)-Net in Base 32 — Upper bound on s
There is no (38, 110, 18282)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 3692 211109 283938 178101 910967 746434 597976 314352 896685 534903 130325 325472 490742 290461 986681 079218 288345 222717 664732 751457 171998 230729 794315 110340 306441 688838 122631 216202 > 32110 [i]