Best Known (118, 118+80, s)-Nets in Base 4
(118, 118+80, 130)-Net over F4 — Constructive and digital
Digital (118, 198, 130)-net over F4, using
- t-expansion [i] based on digital (105, 198, 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
(118, 118+80, 280)-Net over F4 — Digital
Digital (118, 198, 280)-net over F4, using
(118, 118+80, 4989)-Net in Base 4 — Upper bound on s
There is no (118, 198, 4990)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 162507 062640 511417 992240 700744 452238 901682 545664 677978 122801 620015 382664 373467 531694 794962 661369 978952 080844 715708 710985 > 4198 [i]