Best Known (13, 33, s)-Nets in Base 256
(13, 33, 517)-Net over F256 — Constructive and digital
Digital (13, 33, 517)-net over F256, using
- (u, u+v)-construction [i] based on
- digital (1, 11, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- digital (2, 22, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- digital (1, 11, 258)-net over F256, using
(13, 33, 610)-Net over F256 — Digital
Digital (13, 33, 610)-net over F256, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(25633, 610, F256, 2, 20) (dual of [(610, 2), 1187, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25611, 289, F256, 2, 10) (dual of [(289, 2), 567, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,567P) [i] based on function field F/F256 with g(F) = 1 and N(F) ≥ 289, using
- linear OOA(25622, 321, F256, 2, 20) (dual of [(321, 2), 620, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,621P) [i] based on function field F/F256 with g(F) = 2 and N(F) ≥ 321, using
- linear OOA(25611, 289, F256, 2, 10) (dual of [(289, 2), 567, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
(13, 33, 1572630)-Net in Base 256 — Upper bound on s
There is no (13, 33, 1572631)-net in base 256, because
- the generalized Rao bound for nets shows that 256m ≥ 29 642827 718251 391103 120908 805386 271608 370739 562298 615793 581272 500770 540654 203926 > 25633 [i]