Best Known (225−106, 225, s)-Nets in Base 4
(225−106, 225, 130)-Net over F4 — Constructive and digital
Digital (119, 225, 130)-net over F4, using
- t-expansion [i] based on digital (105, 225, 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
(225−106, 225, 192)-Net over F4 — Digital
Digital (119, 225, 192)-net over F4, using
(225−106, 225, 2425)-Net in Base 4 — Upper bound on s
There is no (119, 225, 2426)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2908 084666 774676 416663 485782 505501 239384 131220 945709 262171 580506 733024 393148 483362 528119 605576 376893 033053 997808 427340 781958 455423 106842 > 4225 [i]