Best Known (72, 72+50, s)-Nets in Base 16
(72, 72+50, 536)-Net over F16 — Constructive and digital
Digital (72, 122, 536)-net over F16, using
- trace code for nets [i] based on digital (11, 61, 268)-net over F256, using
- net from sequence [i] based on digital (11, 267)-sequence over F256, using
(72, 72+50, 1293)-Net over F16 — Digital
Digital (72, 122, 1293)-net over F16, using
(72, 72+50, 510068)-Net in Base 16 — Upper bound on s
There is no (72, 122, 510069)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 799 189816 865461 140195 615282 144308 407917 660943 738844 074056 811436 231257 122577 792377 330114 888935 901621 638004 000854 653647 210644 211066 312096 848780 163376 > 16122 [i]