Best Known (107, 107+94, s)-Nets in Base 4
(107, 107+94, 130)-Net over F4 — Constructive and digital
Digital (107, 201, 130)-net over F4, using
- t-expansion [i] based on digital (105, 201, 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
(107, 107+94, 178)-Net over F4 — Digital
Digital (107, 201, 178)-net over F4, using
(107, 107+94, 2261)-Net in Base 4 — Upper bound on s
There is no (107, 201, 2262)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 10 398417 703319 328706 438782 374072 633112 367311 754265 090662 216315 307845 310601 769582 258143 586797 484985 135920 053692 920452 598480 > 4201 [i]