Best Known (72, 72+52, s)-Nets in Base 16
(72, 72+52, 534)-Net over F16 — Constructive and digital
Digital (72, 124, 534)-net over F16, using
- trace code for nets [i] based on digital (10, 62, 267)-net over F256, using
- net from sequence [i] based on digital (10, 266)-sequence over F256, using
(72, 72+52, 1146)-Net over F16 — Digital
Digital (72, 124, 1146)-net over F16, using
(72, 72+52, 388966)-Net in Base 16 — Upper bound on s
There is no (72, 124, 388967)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 204596 678393 374484 686459 420150 143551 802773 128303 114770 244290 925818 078744 852619 450797 585556 012828 157546 304123 059593 227098 173291 980652 179860 861086 672756 > 16124 [i]