Best Known (76−60, 76, s)-Nets in Base 25
(76−60, 76, 126)-Net over F25 — Constructive and digital
Digital (16, 76, 126)-net over F25, using
- t-expansion [i] based on digital (10, 76, 126)-net over F25, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- the Hermitian function field over F25 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 10 and N(F) ≥ 126, using
- net from sequence [i] based on digital (10, 125)-sequence over F25, using
(76−60, 76, 150)-Net over F25 — Digital
Digital (16, 76, 150)-net over F25, using
- net from sequence [i] based on digital (16, 149)-sequence over F25, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 16 and N(F) ≥ 150, using
(76−60, 76, 1730)-Net in Base 25 — Upper bound on s
There is no (16, 76, 1731)-net in base 25, because
- the generalized Rao bound for nets shows that 25m ≥ 17756 592002 307381 637143 052811 772197 491338 149072 983575 402736 819164 610593 862130 385766 815547 013805 719300 287729 > 2576 [i]