Best Known (79−62, 79, s)-Nets in Base 5
(79−62, 79, 42)-Net over F5 — Constructive and digital
Digital (17, 79, 42)-net over F5, using
- net from sequence [i] based on digital (17, 41)-sequence over F5, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F5 with g(F) = 17 and N(F) ≥ 42, using
(79−62, 79, 95)-Net in Base 5 — Upper bound on s
There is no (17, 79, 96)-net in base 5, because
- extracting embedded orthogonal array [i] would yield OA(579, 96, S5, 62), but
- the linear programming bound shows that M ≥ 54681 565591 073801 418345 486091 698859 354437 445290 386676 788330 078125 / 2638 671021 > 579 [i]