Best Known (132, 260, s)-Nets in Base 4
(132, 260, 130)-Net over F4 — Constructive and digital
Digital (132, 260, 130)-net over F4, using
- t-expansion [i] based on digital (105, 260, 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
(132, 260, 191)-Net over F4 — Digital
Digital (132, 260, 191)-net over F4, using
(132, 260, 2243)-Net in Base 4 — Upper bound on s
There is no (132, 260, 2244)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 460016 190928 192257 029285 943222 026059 481281 185858 153577 800255 093203 767961 697533 502813 656120 770954 081071 558960 901104 843523 648895 440194 357484 453636 277173 088815 > 4260 [i]