Best Known (58, 58+56, s)-Nets in Base 16
(58, 58+56, 516)-Net over F16 — Constructive and digital
Digital (58, 114, 516)-net over F16, using
- trace code for nets [i] based on digital (1, 57, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(58, 58+56, 578)-Net over F16 — Digital
Digital (58, 114, 578)-net over F16, using
- trace code for nets [i] based on digital (1, 57, 289)-net over F256, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- net from sequence [i] based on digital (1, 288)-sequence over F256, using
(58, 58+56, 60157)-Net in Base 16 — Upper bound on s
There is no (58, 114, 60158)-net in base 16, because
- the generalized Rao bound for nets shows that 16m ≥ 186095 097092 196190 606113 662239 774561 123733 931786 324774 248261 928277 013903 710725 552505 511020 637488 049991 781653 659378 326363 586342 706817 309411 > 16114 [i]