Best Known (134, 134+122, s)-Nets in Base 4
(134, 134+122, 130)-Net over F4 — Constructive and digital
Digital (134, 256, 130)-net over F4, using
- t-expansion [i] based on digital (105, 256, 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
(134, 134+122, 208)-Net over F4 — Digital
Digital (134, 256, 208)-net over F4, using
(134, 134+122, 2591)-Net in Base 4 — Upper bound on s
There is no (134, 256, 2592)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 13692 990426 363373 447773 477469 303923 710131 797309 482522 755104 986088 218289 415647 135950 952149 881371 641252 437948 863351 171441 439220 120668 198775 581814 475626 638960 > 4256 [i]