Best Known (226−100, 226, s)-Nets in Base 4
(226−100, 226, 130)-Net over F4 — Constructive and digital
Digital (126, 226, 130)-net over F4, using
- t-expansion [i] based on digital (105, 226, 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
(226−100, 226, 235)-Net over F4 — Digital
Digital (126, 226, 235)-net over F4, using
(226−100, 226, 3377)-Net in Base 4 — Upper bound on s
There is no (126, 226, 3378)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 11689 728697 417989 762455 409293 286604 174804 435256 262580 607838 041193 376173 934951 334793 058589 583919 855182 563024 161092 285437 174986 722568 822696 > 4226 [i]