Best Known (224−98, 224, s)-Nets in Base 4
(224−98, 224, 130)-Net over F4 — Constructive and digital
Digital (126, 224, 130)-net over F4, using
- t-expansion [i] based on digital (105, 224, 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
(224−98, 224, 242)-Net over F4 — Digital
Digital (126, 224, 242)-net over F4, using
(224−98, 224, 3561)-Net in Base 4 — Upper bound on s
There is no (126, 224, 3562)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 735 245759 244498 812236 419996 418045 512270 615823 552241 448148 087246 480389 148340 152901 116778 987110 222209 266451 470148 967084 545471 423691 535860 > 4224 [i]