Best Known (120, 120+78, s)-Nets in Base 4
(120, 120+78, 130)-Net over F4 — Constructive and digital
Digital (120, 198, 130)-net over F4, using
- t-expansion [i] based on digital (105, 198, 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+78, 305)-Net over F4 — Digital
Digital (120, 198, 305)-net over F4, using
(120, 120+78, 5814)-Net in Base 4 — Upper bound on s
There is no (120, 198, 5815)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 161562 492704 658441 249702 167500 470561 821173 705617 489154 773532 239968 174265 109329 243251 715470 875148 110658 218046 866170 719380 > 4198 [i]