Best Known (121, 121+84, s)-Nets in Base 4
(121, 121+84, 130)-Net over F4 — Constructive and digital
Digital (121, 205, 130)-net over F4, using
- t-expansion [i] based on digital (105, 205, 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
(121, 121+84, 276)-Net over F4 — Digital
Digital (121, 205, 276)-net over F4, using
(121, 121+84, 4744)-Net in Base 4 — Upper bound on s
There is no (121, 205, 4745)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2661 431189 742330 177732 757534 097299 635253 534856 537126 905381 741035 968861 606430 444066 279838 258004 114961 927691 417153 057457 575552 > 4205 [i]