Best Known (110−84, 110, s)-Nets in Base 5
(110−84, 110, 51)-Net over F5 — Constructive and digital
Digital (26, 110, 51)-net over F5, using
- t-expansion [i] based on digital (22, 110, 51)-net over F5, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 22 and N(F) ≥ 51, using
- net from sequence [i] based on digital (22, 50)-sequence over F5, using
(110−84, 110, 55)-Net over F5 — Digital
Digital (26, 110, 55)-net over F5, using
- t-expansion [i] based on digital (23, 110, 55)-net over F5, using
- net from sequence [i] based on digital (23, 54)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 23 and N(F) ≥ 55, using
- net from sequence [i] based on digital (23, 54)-sequence over F5, using
(110−84, 110, 143)-Net in Base 5 — Upper bound on s
There is no (26, 110, 144)-net in base 5, because
- extracting embedded orthogonal array [i] would yield OA(5110, 144, S5, 84), but
- the linear programming bound shows that M ≥ 91 409242 726417 624095 344105 505405 630376 260462 681874 772811 345983 107578 216930 733105 982653 796672 821044 921875 / 1070 506247 537363 410554 373824 > 5110 [i]