Best Known (106, 196, s)-Nets in Base 4
(106, 196, 130)-Net over F4 — Constructive and digital
Digital (106, 196, 130)-net over F4, using
- t-expansion [i] based on digital (105, 196, 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, 196, 184)-Net over F4 — Digital
Digital (106, 196, 184)-net over F4, using
(106, 196, 2425)-Net in Base 4 — Upper bound on s
There is no (106, 196, 2426)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10159 382113 438620 137309 059364 170487 602201 253506 591987 032078 024738 862947 959308 371611 553368 194638 914853 380288 423272 751140 > 4196 [i]