Best Known (110−90, 110, s)-Nets in Base 25
(110−90, 110, 148)-Net over F25 — Constructive and digital
Digital (20, 110, 148)-net over F25, using
- t-expansion [i] based on digital (19, 110, 148)-net over F25, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 19 and N(F) ≥ 148, using
- net from sequence [i] based on digital (19, 147)-sequence over F25, using
(110−90, 110, 171)-Net over F25 — Digital
Digital (20, 110, 171)-net over F25, using
- net from sequence [i] based on digital (20, 170)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 20 and N(F) ≥ 171, using
(110−90, 110, 1895)-Net in Base 25 — Upper bound on s
There is no (20, 110, 1896)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 6002 106995 936735 980161 977943 010697 171536 795589 524834 313650 425437 525581 813289 262421 741754 946296 436096 244969 073198 466910 506223 092119 455892 859873 452846 687425 > 25110 [i]