Best Known (110, 110+84, s)-Nets in Base 4
(110, 110+84, 130)-Net over F4 — Constructive and digital
Digital (110, 194, 130)-net over F4, using
- t-expansion [i] based on digital (105, 194, 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, 110+84, 221)-Net over F4 — Digital
Digital (110, 194, 221)-net over F4, using
(110, 110+84, 3289)-Net in Base 4 — Upper bound on s
There is no (110, 194, 3290)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 635 582614 053125 389278 525774 749775 553780 619613 564396 220752 171278 464963 380074 548239 764961 403604 440164 434382 511253 739520 > 4194 [i]