Best Known (134, 260, s)-Nets in Base 4
(134, 260, 130)-Net over F4 — Constructive and digital
Digital (134, 260, 130)-net over F4, using
- t-expansion [i] based on digital (105, 260, 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, 260, 200)-Net over F4 — Digital
Digital (134, 260, 200)-net over F4, using
(134, 260, 2421)-Net in Base 4 — Upper bound on s
There is no (134, 260, 2422)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 3 475479 206868 261892 821089 047440 452919 778740 011506 538100 598418 582332 377133 700520 160483 669503 619768 705592 657319 338846 499516 524775 529462 714096 608744 292340 888800 > 4260 [i]