Best Known (74, 106, s)-Nets in Base 7
(74, 106, 688)-Net over F7 — Constructive and digital
Digital (74, 106, 688)-net over F7, using
- trace code for nets [i] based on digital (21, 53, 344)-net over F49, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- the Hermitian function field over F49 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) = 21 and N(F) ≥ 344, using
- net from sequence [i] based on digital (21, 343)-sequence over F49, using
(74, 106, 1621)-Net over F7 — Digital
Digital (74, 106, 1621)-net over F7, using
(74, 106, 449937)-Net in Base 7 — Upper bound on s
There is no (74, 106, 449938)-net in base 7, because
- the generalized Rao bound for nets shows that 7m ≥ 380539 897490 973737 924692 066592 782411 303236 025712 141110 747904 058571 498310 399088 688053 059617 > 7106 [i]