Best Known (115, 187, s)-Nets in Base 4
(115, 187, 130)-Net over F4 — Constructive and digital
Digital (115, 187, 130)-net over F4, using
- t-expansion [i] based on digital (105, 187, 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
(115, 187, 313)-Net over F4 — Digital
Digital (115, 187, 313)-net over F4, using
(115, 187, 6352)-Net in Base 4 — Upper bound on s
There is no (115, 187, 6353)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 38492 117935 658837 127127 861610 467903 301015 706748 823149 155502 917946 272227 241603 278775 890432 651585 914585 734522 983800 > 4187 [i]