Best Known (112−49, 112, s)-Nets in Base 16
(112−49, 112, 528)-Net over F16 — Constructive and digital
Digital (63, 112, 528)-net over F16, using
- trace code for nets [i] based on digital (7, 56, 264)-net over F256, using
- net from sequence [i] based on digital (7, 263)-sequence over F256, using
(112−49, 112, 830)-Net over F16 — Digital
Digital (63, 112, 830)-net over F16, using
(112−49, 112, 242271)-Net in Base 16 — Upper bound on s
There is no (63, 112, 242272)-net in base 16, because
- 1 times m-reduction [i] would yield (63, 111, 242272)-net in base 16, but
- the generalized Rao bound for nets shows that 16m ≥ 45 428197 241194 233524 924763 819849 677361 440584 932053 968243 313743 767265 892769 758142 062028 610111 390927 772288 700062 841174 492814 328020 841971 > 16111 [i]