Best Known (97, 97+156, s)-Nets in Base 4
(97, 97+156, 104)-Net over F4 — Constructive and digital
Digital (97, 253, 104)-net over F4, using
- t-expansion [i] based on digital (73, 253, 104)-net over F4, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 73 and N(F) ≥ 104, using
- F6 from the 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) = 73 and N(F) ≥ 104, using
- net from sequence [i] based on digital (73, 103)-sequence over F4, using
(97, 97+156, 144)-Net over F4 — Digital
Digital (97, 253, 144)-net over F4, using
- t-expansion [i] based on digital (91, 253, 144)-net over F4, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 91 and N(F) ≥ 144, using
- net from sequence [i] based on digital (91, 143)-sequence over F4, using
(97, 97+156, 830)-Net in Base 4 — Upper bound on s
There is no (97, 253, 831)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 227 919950 774216 198478 537108 266516 201801 959734 204510 338337 666162 573724 310524 481714 989540 622488 438209 632305 177557 407133 733617 880228 237147 218240 479450 775508 > 4253 [i]