Best Known (202−96, 202, s)-Nets in Base 4
(202−96, 202, 130)-Net over F4 — Constructive and digital
Digital (106, 202, 130)-net over F4, using
- t-expansion [i] based on digital (105, 202, 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
(202−96, 202, 170)-Net over F4 — Digital
Digital (106, 202, 170)-net over F4, using
(202−96, 202, 2095)-Net in Base 4 — Upper bound on s
There is no (106, 202, 2096)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 41 801049 352549 442047 142670 183093 996212 385190 021420 682018 101410 783452 153650 982931 362157 086296 419852 386044 376041 736156 468032 > 4202 [i]