Best Known (137, 249, s)-Nets in Base 4
(137, 249, 130)-Net over F4 — Constructive and digital
Digital (137, 249, 130)-net over F4, using
- t-expansion [i] based on digital (105, 249, 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
(137, 249, 244)-Net over F4 — Digital
Digital (137, 249, 244)-net over F4, using
(137, 249, 3393)-Net in Base 4 — Upper bound on s
There is no (137, 249, 3394)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 819803 118060 624160 985742 176337 370242 149496 910561 520141 309074 607458 424439 428700 863370 779586 787498 625820 452178 664986 504534 070019 515748 171582 927577 234904 > 4249 [i]