Best Known (105, 105+94, s)-Nets in Base 4
(105, 105+94, 130)-Net over F4 — Constructive and digital
Digital (105, 199, 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
(105, 105+94, 171)-Net over F4 — Digital
Digital (105, 199, 171)-net over F4, using
(105, 105+94, 2129)-Net in Base 4 — Upper bound on s
There is no (105, 199, 2130)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 646594 436788 353317 778966 681447 064715 596025 196899 479522 750372 361068 917868 359769 059637 651473 754390 941019 146373 060773 392464 > 4199 [i]