Best Known (135, 183, s)-Nets in Base 4
(135, 183, 531)-Net over F4 — Constructive and digital
Digital (135, 183, 531)-net over F4, using
- 9 times m-reduction [i] based on digital (135, 192, 531)-net over F4, using
- trace code for nets [i] based on digital (7, 64, 177)-net over F64, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F64 with g(F) = 7 and N(F) ≥ 177, using
- net from sequence [i] based on digital (7, 176)-sequence over F64, using
- trace code for nets [i] based on digital (7, 64, 177)-net over F64, using
(135, 183, 576)-Net in Base 4 — Constructive
(135, 183, 576)-net in base 4, using
- t-expansion [i] based on (134, 183, 576)-net in base 4, using
- trace code for nets [i] based on (12, 61, 192)-net in base 64, using
- 2 times m-reduction [i] based on (12, 63, 192)-net in base 64, using
- base change [i] based on digital (3, 54, 192)-net over F128, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- net from sequence [i] based on digital (3, 191)-sequence over F128, using
- base change [i] based on digital (3, 54, 192)-net over F128, using
- 2 times m-reduction [i] based on (12, 63, 192)-net in base 64, using
- trace code for nets [i] based on (12, 61, 192)-net in base 64, using
(135, 183, 1376)-Net over F4 — Digital
Digital (135, 183, 1376)-net over F4, using
(135, 183, 127315)-Net in Base 4 — Upper bound on s
There is no (135, 183, 127316)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 150 311531 515017 966549 007520 674332 099592 863243 195826 715875 574028 863699 800893 579239 713628 638268 672171 325640 137064 > 4183 [i]