Best Known (198−84, 198, s)-Nets in Base 4
(198−84, 198, 130)-Net over F4 — Constructive and digital
Digital (114, 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
(198−84, 198, 240)-Net over F4 — Digital
Digital (114, 198, 240)-net over F4, using
(198−84, 198, 3758)-Net in Base 4 — Upper bound on s
There is no (114, 198, 3759)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 162376 374294 819010 382705 459694 330930 550205 667725 110844 010351 336138 187208 239993 540467 042839 777015 489195 850389 469678 432325 > 4198 [i]