Best Known (148−64, 148, s)-Nets in Base 5
(148−64, 148, 252)-Net over F5 — Constructive and digital
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
(148−64, 148, 5441)-Net in Base 5 — Upper bound on s
There is no (84, 148, 5442)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 28 171695 498633 477158 025506 060704 165793 697218 159757 328157 048524 837739 046543 071588 736860 232543 301503 686145 > 5148 [i]