Best Known (108, 174, s)-Nets in Base 4
(108, 174, 130)-Net over F4 — Constructive and digital
Digital (108, 174, 130)-net over F4, using
- t-expansion [i] based on digital (105, 174, 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
(108, 174, 310)-Net over F4 — Digital
Digital (108, 174, 310)-net over F4, using
(108, 174, 6530)-Net in Base 4 — Upper bound on s
There is no (108, 174, 6531)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 575 015064 422474 439614 755873 045496 203502 644941 687842 003953 072628 373195 694860 755594 486251 734246 342938 773576 > 4174 [i]