Best Known (247−116, 247, s)-Nets in Base 4
(247−116, 247, 130)-Net over F4 — Constructive and digital
Digital (131, 247, 130)-net over F4, using
- t-expansion [i] based on digital (105, 247, 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
(247−116, 247, 211)-Net over F4 — Digital
Digital (131, 247, 211)-net over F4, using
(247−116, 247, 2694)-Net in Base 4 — Upper bound on s
There is no (131, 247, 2695)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 51823 342942 565077 099696 474226 863736 172483 929122 878060 651052 714039 205282 585962 009785 647931 743991 180287 783742 400370 189291 350051 486237 064452 822115 709904 > 4247 [i]