Best Known (120, 240, s)-Nets in Base 4
(120, 240, 130)-Net over F4 — Constructive and digital
Digital (120, 240, 130)-net over F4, using
- t-expansion [i] based on digital (105, 240, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(120, 240, 169)-Net over F4 — Digital
Digital (120, 240, 169)-net over F4, using
(120, 240, 1930)-Net in Base 4 — Upper bound on s
There is no (120, 240, 1931)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 216990 703592 423180 016806 825806 107916 824613 593926 547784 594730 122200 108922 172845 000104 385083 127559 645738 623202 353790 803796 517615 635447 219464 950880 > 4240 [i]