Best Known (110, 176, s)-Nets in Base 4
(110, 176, 130)-Net over F4 — Constructive and digital
Digital (110, 176, 130)-net over F4, using
- t-expansion [i] based on digital (105, 176, 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, 176, 326)-Net over F4 — Digital
Digital (110, 176, 326)-net over F4, using
(110, 176, 7105)-Net in Base 4 — Upper bound on s
There is no (110, 176, 7106)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 9209 168087 219885 807958 344430 115624 896216 131818 368102 819420 891034 917348 989627 947152 780988 393408 652581 308838 > 4176 [i]