Best Known (79, 79+50, s)-Nets in Base 5
(79, 79+50, 252)-Net over F5 — Constructive and digital
Digital (79, 129, 252)-net over F5, using
- 9 times m-reduction [i] based on digital (79, 138, 252)-net over F5, using
- trace code for nets [i] based on digital (10, 69, 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, 69, 126)-net over F25, using
(79, 79+50, 316)-Net over F5 — Digital
Digital (79, 129, 316)-net over F5, using
(79, 79+50, 10267)-Net in Base 5 — Upper bound on s
There is no (79, 129, 10268)-net in base 5, because
- the generalized Rao bound for nets shows that 5m ≥ 1 469835 425042 827709 625041 515578 242351 476025 683532 411261 222037 609563 076779 592601 363002 295665 > 5129 [i]