Best Known (130, 130+114, s)-Nets in Base 4
(130, 130+114, 130)-Net over F4 — Constructive and digital
Digital (130, 244, 130)-net over F4, using
- t-expansion [i] based on digital (105, 244, 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+114, 212)-Net over F4 — Digital
Digital (130, 244, 212)-net over F4, using
(130, 130+114, 2733)-Net in Base 4 — Upper bound on s
There is no (130, 244, 2734)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 803 424005 156653 500652 733602 531151 890869 457804 574685 311493 489761 761001 276765 780587 471913 818382 025799 176998 729075 239645 789919 290217 634053 923274 779960 > 4244 [i]