Best Known (218−104, 218, s)-Nets in Base 4
(218−104, 218, 130)-Net over F4 — Constructive and digital
Digital (114, 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
(218−104, 218, 180)-Net over F4 — Digital
Digital (114, 218, 180)-net over F4, using
(218−104, 218, 2210)-Net in Base 4 — Upper bound on s
There is no (114, 218, 2211)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 178854 836901 886472 447498 670788 372495 304376 155692 510589 437223 270570 054179 428642 108461 163598 711187 031078 461062 544398 708774 545140 435040 > 4218 [i]