Best Known (17, 98, s)-Nets in Base 9
(17, 98, 74)-Net over F9 — Constructive and digital
Digital (17, 98, 74)-net over F9, using
- net from sequence [i] based on digital (17, 73)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 17 and N(F) ≥ 74, using
(17, 98, 382)-Net in Base 9 — Upper bound on s
There is no (17, 98, 383)-net in base 9, because
- 1 times m-reduction [i] would yield (17, 97, 383)-net in base 9, but
- the generalized Rao bound for nets shows that 9m ≥ 397 200618 743640 952511 701699 245118 897884 948920 276618 440049 106524 683540 803573 381693 362137 439937 > 997 [i]