Best Known (120, 120+96, s)-Nets in Base 4
(120, 120+96, 130)-Net over F4 — Constructive and digital
Digital (120, 216, 130)-net over F4, using
- t-expansion [i] based on digital (105, 216, 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, 120+96, 223)-Net over F4 — Digital
Digital (120, 216, 223)-net over F4, using
(120, 120+96, 3159)-Net in Base 4 — Upper bound on s
There is no (120, 216, 3160)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11236 849632 053568 413509 482486 550980 776932 983220 498439 791966 766166 359639 673359 540785 037365 910498 619620 679783 920538 519002 721699 943498 > 4216 [i]