Best Known (237−118, 237, s)-Nets in Base 4
(237−118, 237, 130)-Net over F4 — Constructive and digital
Digital (119, 237, 130)-net over F4, using
- t-expansion [i] based on digital (105, 237, 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
(237−118, 237, 169)-Net over F4 — Digital
Digital (119, 237, 169)-net over F4, using
(237−118, 237, 1945)-Net in Base 4 — Upper bound on s
There is no (119, 237, 1946)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 49513 400679 929799 723618 596066 075070 078250 766151 297795 461243 523757 462662 890379 165119 113977 450513 686230 954484 833222 118603 570932 981029 878313 827968 > 4237 [i]