Best Known (217−98, 217, s)-Nets in Base 4
(217−98, 217, 130)-Net over F4 — Constructive and digital
Digital (119, 217, 130)-net over F4, using
- t-expansion [i] based on digital (105, 217, 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
(217−98, 217, 213)-Net over F4 — Digital
Digital (119, 217, 213)-net over F4, using
(217−98, 217, 2914)-Net in Base 4 — Upper bound on s
There is no (119, 217, 2915)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 44982 912292 484999 134418 338893 455066 502082 805962 898307 165683 550704 406276 463364 792628 932320 494535 304409 365898 327568 836066 352743 288952 > 4217 [i]