Best Known (106−86, 106, s)-Nets in Base 25
(106−86, 106, 148)-Net over F25 — Constructive and digital
Digital (20, 106, 148)-net over F25, using
- t-expansion [i] based on digital (19, 106, 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
(106−86, 106, 171)-Net over F25 — Digital
Digital (20, 106, 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
(106−86, 106, 1942)-Net in Base 25 — Upper bound on s
There is no (20, 106, 1943)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 15469 940972 603361 459365 024575 839024 395154 565424 533715 647566 856774 576074 918628 041843 310203 309221 489967 045007 955316 743624 622048 784760 484004 367428 586425 > 25106 [i]