Best Known (121, 121+108, s)-Nets in Base 4
(121, 121+108, 130)-Net over F4 — Constructive and digital
Digital (121, 229, 130)-net over F4, using
- t-expansion [i] based on digital (105, 229, 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
(121, 121+108, 195)-Net over F4 — Digital
Digital (121, 229, 195)-net over F4, using
(121, 121+108, 2453)-Net in Base 4 — Upper bound on s
There is no (121, 229, 2454)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 746613 547395 273196 726199 780688 014652 840196 116963 403947 242662 434786 553646 920806 416825 963380 620643 158992 011177 630390 750615 816726 635139 715680 > 4229 [i]