Best Known (84, 146, s)-Nets in Base 5
(84, 146, 252)-Net over F5 — Constructive and digital
Digital (84, 146, 252)-net over F5, using
- 2 times m-reduction [i] based on digital (84, 148, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 74, 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
- trace code for nets [i] based on digital (10, 74, 126)-net over F25, using
(84, 146, 6057)-Net in Base 5 — Upper bound on s
There is no (84, 146, 6058)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1 125750 676166 227353 002921 149353 161663 165131 953977 688142 576054 649331 849416 292667 008665 985279 464126 736841 > 5146 [i]