Best Known (130, 130+120, s)-Nets in Base 4
(130, 130+120, 130)-Net over F4 — Constructive and digital
Digital (130, 250, 130)-net over F4, using
- t-expansion [i] based on digital (105, 250, 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
(130, 130+120, 199)-Net over F4 — Digital
Digital (130, 250, 199)-net over F4, using
(130, 130+120, 2444)-Net in Base 4 — Upper bound on s
There is no (130, 250, 2445)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 328354 547937 117804 396715 959413 698326 188526 861125 672496 258787 847781 720873 081245 062887 613358 304320 518518 909321 032062 311473 877856 359135 951978 921355 583080 > 4250 [i]