Best Known (118, 224, s)-Nets in Base 2
(118, 224, 57)-Net over F2 — Constructive and digital
Digital (118, 224, 57)-net over F2, using
- t-expansion [i] based on digital (110, 224, 57)-net over F2, using
- net from sequence [i] based on digital (110, 56)-sequence over F2, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F2 with g(F) = 69, N(F) = 48, 1 place with degree 2, and 8 places with degree 6 [i] based on function field F/F2 with g(F) = 69 and N(F) ≥ 48, using an explicitly constructive algebraic function field [i]
- net from sequence [i] based on digital (110, 56)-sequence over F2, using
(118, 224, 73)-Net over F2 — Digital
Digital (118, 224, 73)-net over F2, using
- t-expansion [i] based on digital (114, 224, 73)-net over F2, using
- net from sequence [i] based on digital (114, 72)-sequence over F2, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F2 with g(F) = 114 and N(F) ≥ 73, using
- net from sequence [i] based on digital (114, 72)-sequence over F2, using
(118, 224, 252)-Net in Base 2 — Upper bound on s
There is no (118, 224, 253)-net in base 2, because
- extracting embedded orthogonal array [i] would yield OA(2224, 253, S2, 106), but
- the linear programming bound shows that M ≥ 5 222077 869683 849196 255349 775472 511572 660232 416594 770146 536453 382899 214399 307776 / 189875 648367 > 2224 [i]