Best Known (110, 201, s)-Nets in Base 4
(110, 201, 130)-Net over F4 — Constructive and digital
Digital (110, 201, 130)-net over F4, using
- t-expansion [i] based on digital (105, 201, 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
(110, 201, 197)-Net over F4 — Digital
Digital (110, 201, 197)-net over F4, using
(110, 201, 2748)-Net in Base 4 — Upper bound on s
There is no (110, 201, 2749)-net in base 4, because
- 1 times m-reduction [i] would yield (110, 200, 2749)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 2 603057 054978 121911 418098 226954 252036 801981 201155 914092 836704 348444 698422 294506 112745 357642 648771 681826 428347 813620 910596 > 4200 [i]