Best Known (134, 134+116, s)-Nets in Base 4
(134, 134+116, 130)-Net over F4 — Constructive and digital
Digital (134, 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
(134, 134+116, 222)-Net over F4 — Digital
Digital (134, 250, 222)-net over F4, using
(134, 134+116, 2898)-Net in Base 4 — Upper bound on s
There is no (134, 250, 2899)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 326356 124318 848570 820772 210884 591416 997249 693731 814763 382402 141179 250334 656331 033479 274587 054761 048798 552277 643323 871900 266291 839923 428673 840966 826472 > 4250 [i]