Best Known (107, 207, s)-Nets in Base 4
(107, 207, 130)-Net over F4 — Constructive and digital
Digital (107, 207, 130)-net over F4, using
- t-expansion [i] based on digital (105, 207, 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
(107, 207, 165)-Net over F4 — Digital
Digital (107, 207, 165)-net over F4, using
(107, 207, 1977)-Net in Base 4 — Upper bound on s
There is no (107, 207, 1978)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 42479 429820 991238 031279 593542 198766 643843 921000 815175 775998 486464 576672 636458 316517 947910 408953 071835 145412 571784 844951 789876 > 4207 [i]