Best Known (241−110, 241, s)-Nets in Base 4
(241−110, 241, 130)-Net over F4 — Constructive and digital
Digital (131, 241, 130)-net over F4, using
- t-expansion [i] based on digital (105, 241, 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
(241−110, 241, 226)-Net over F4 — Digital
Digital (131, 241, 226)-net over F4, using
(241−110, 241, 3046)-Net in Base 4 — Upper bound on s
There is no (131, 241, 3047)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 12 641156 194255 573070 015289 765152 555600 327691 568945 388008 413223 670775 616493 804681 220420 955423 148784 426063 842288 577164 371651 203826 007180 164595 168560 > 4241 [i]