Best Known (122, 122+96, s)-Nets in Base 4
(122, 122+96, 130)-Net over F4 — Constructive and digital
Digital (122, 218, 130)-net over F4, using
- t-expansion [i] based on digital (105, 218, 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
(122, 122+96, 231)-Net over F4 — Digital
Digital (122, 218, 231)-net over F4, using
(122, 122+96, 3349)-Net in Base 4 — Upper bound on s
There is no (122, 218, 3350)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 179202 884066 225507 717845 291097 049846 041017 418450 959759 821039 654287 239562 560108 286742 324884 988043 957241 152577 140627 727285 229258 863368 > 4218 [i]