Best Known (230−104, 230, s)-Nets in Base 4
(230−104, 230, 130)-Net over F4 — Constructive and digital
Digital (126, 230, 130)-net over F4, using
- t-expansion [i] based on digital (105, 230, 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
(230−104, 230, 223)-Net over F4 — Digital
Digital (126, 230, 223)-net over F4, using
(230−104, 230, 3060)-Net in Base 4 — Upper bound on s
There is no (126, 230, 3061)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 025100 395966 380227 350823 639636 846493 812303 125719 641942 184631 217054 905182 587332 211266 547185 098135 504613 856935 111831 339592 524821 967509 098503 > 4230 [i]