Best Known (17, 56, s)-Nets in Base 256
(17, 56, 274)-Net over F256 — Constructive and digital
Digital (17, 56, 274)-net over F256, using
- net from sequence [i] based on digital (17, 273)-sequence over F256, using
(17, 56, 513)-Net over F256 — Digital
Digital (17, 56, 513)-net over F256, using
- t-expansion [i] based on digital (8, 56, 513)-net over F256, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- K1,1 from the tower of function fields by Niederreiter and Xing based on the tower by GarcÃa and Stichtenoth over F256 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F256 with g(F) = 8 and N(F) ≥ 513, using
- net from sequence [i] based on digital (8, 512)-sequence over F256, using
(17, 56, 290993)-Net in Base 256 — Upper bound on s
There is no (17, 56, 290994)-net in base 256, because
- 1 times m-reduction [i] would yield (17, 55, 290994)-net in base 256, but
- the generalized Rao bound for nets shows that 256m ≥ 2 839375 146503 133721 222253 760617 251981 412270 276622 526889 805128 935124 503414 939447 333022 932462 046282 484858 817563 666300 541531 891701 095056 > 25655 [i]