Best Known (106, 194, s)-Nets in Base 4
(106, 194, 130)-Net over F4 — Constructive and digital
Digital (106, 194, 130)-net over F4, using
- t-expansion [i] based on digital (105, 194, 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
(106, 194, 190)-Net over F4 — Digital
Digital (106, 194, 190)-net over F4, using
(106, 194, 2560)-Net in Base 4 — Upper bound on s
There is no (106, 194, 2561)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 638 732270 868504 254627 392596 163822 998751 417559 484201 480536 259802 373598 873146 191120 243050 132193 990244 342350 915072 673920 > 4194 [i]