Best Known (98, 140, s)-Nets in Base 8
(98, 140, 1026)-Net over F8 — Constructive and digital
Digital (98, 140, 1026)-net over F8, using
- trace code for nets [i] based on digital (28, 70, 513)-net over F64, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- the Hermitian function field over F64 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 28 and N(F) ≥ 513, using
- net from sequence [i] based on digital (28, 512)-sequence over F64, using
(98, 140, 2816)-Net over F8 — Digital
Digital (98, 140, 2816)-net over F8, using
(98, 140, 1300139)-Net in Base 8 — Upper bound on s
There is no (98, 140, 1300140)-net in base 8, because
- the generalized Rao bound for nets shows that 8m ≥ 2 707688 118186 663043 927107 757392 623276 207628 915516 941455 429909 436313 047885 320447 541434 112010 922817 273692 102391 742347 439237 751084 > 8140 [i]