Best Known (6, 79, s)-Nets in Base 16
(6, 79, 65)-Net over F16 — Constructive and digital
Digital (6, 79, 65)-net over F16, using
- net from sequence [i] based on digital (6, 64)-sequence over F16, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
(6, 79, 208)-Net in Base 16 — Upper bound on s
There is no (6, 79, 209)-net in base 16, because
- extracting embedded orthogonal array [i] would yield OA(1679, 209, S16, 73), but
- the linear programming bound shows that M ≥ 92575 197026 356801 117972 599082 578333 685037 362584 642371 215462 069076 917278 868955 238226 018276 596489 645629 091946 557155 967644 866610 334645 709468 336128 / 675812 123038 650504 151467 858459 197597 072766 009823 > 1679 [i]