Best Known (120, 120+102, s)-Nets in Base 4
(120, 120+102, 130)-Net over F4 — Constructive and digital
Digital (120, 222, 130)-net over F4, using
- t-expansion [i] based on digital (105, 222, 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+102, 206)-Net over F4 — Digital
Digital (120, 222, 206)-net over F4, using
(120, 120+102, 2721)-Net in Base 4 — Upper bound on s
There is no (120, 222, 2722)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 45 607645 145207 772082 205905 405091 410906 485165 657305 061633 833881 715917 409914 724948 791248 759499 972146 813376 035030 172079 198486 908373 210560 > 4222 [i]