Best Known (105, 185, s)-Nets in Base 4
(105, 185, 130)-Net over F4 — Constructive and digital
Digital (105, 185, 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
(105, 185, 213)-Net over F4 — Digital
Digital (105, 185, 213)-net over F4, using
(105, 185, 3167)-Net in Base 4 — Upper bound on s
There is no (105, 185, 3168)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 2415 630998 188896 972709 083660 570805 756417 360695 904101 007682 547317 584121 359064 815196 706323 712011 267582 965069 323874 > 4185 [i]