Best Known (224−97, 224, s)-Nets in Base 4
(224−97, 224, 130)-Net over F4 — Constructive and digital
Digital (127, 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
(224−97, 224, 250)-Net over F4 — Digital
Digital (127, 224, 250)-net over F4, using
(224−97, 224, 3875)-Net in Base 4 — Upper bound on s
There is no (127, 224, 3876)-net in base 4, because
- 1 times m-reduction [i] would yield (127, 223, 3876)-net in base 4, but
- the generalized Rao bound for nets shows that 4m ≥ 182 343633 380496 351694 316056 648180 235778 005265 468453 137203 555748 826032 637585 295273 865730 572673 970768 184420 049572 237785 930291 749903 552496 > 4223 [i]