Best Known (55−38, 55, s)-Nets in Base 49
(55−38, 55, 96)-Net over F49 — Constructive and digital
Digital (17, 55, 96)-net over F49, using
- net from sequence [i] based on digital (17, 95)-sequence over F49, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) ≤ 17 and N(F) ≥ 96, using
- F4 from the tower of function fields by GarcÃa, Stichtenoth, and Rück over F49 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F49 with g(F) ≤ 17 and N(F) ≥ 96, using
(55−38, 55, 12892)-Net in Base 49 — Upper bound on s
There is no (17, 55, 12893)-net in base 49, because
- the generalized Rao bound for nets shows that 49m ≥ 914 586599 607210 338465 683803 257249 021545 565086 063032 667698 513379 353127 221546 565618 523298 559057 > 4955 [i]