Best Known (43, 43+48, s)-Nets in Base 32
(43, 43+48, 218)-Net over F32 — Constructive and digital
Digital (43, 91, 218)-net over F32, using
- 2 times m-reduction [i] based on digital (43, 93, 218)-net over F32, using
- (u, u+v)-construction [i] based on
- digital (7, 32, 98)-net over F32, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- net from sequence [i] based on digital (7, 97)-sequence over F32, using
- digital (11, 61, 120)-net over F32, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- net from sequence [i] based on digital (11, 119)-sequence over F32, using
- digital (7, 32, 98)-net over F32, using
- (u, u+v)-construction [i] based on
(43, 43+48, 288)-Net in Base 32 — Constructive
(43, 91, 288)-net in base 32, using
- t-expansion [i] based on (40, 91, 288)-net in base 32, using
- 17 times m-reduction [i] based on (40, 108, 288)-net in base 32, using
- base change [i] based on (22, 90, 288)-net in base 64, using
- 1 times m-reduction [i] based on (22, 91, 288)-net in base 64, using
- base change [i] based on digital (9, 78, 288)-net over F128, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- net from sequence [i] based on digital (9, 287)-sequence over F128, using
- base change [i] based on digital (9, 78, 288)-net over F128, using
- 1 times m-reduction [i] based on (22, 91, 288)-net in base 64, using
- base change [i] based on (22, 90, 288)-net in base 64, using
- 17 times m-reduction [i] based on (40, 108, 288)-net in base 32, using
(43, 43+48, 492)-Net over F32 — Digital
Digital (43, 91, 492)-net over F32, using
(43, 43+48, 513)-Net in Base 32
(43, 91, 513)-net in base 32, using
- 321 times duplication [i] based on (42, 90, 513)-net in base 32, using
- base change [i] based on (27, 75, 513)-net in base 64, using
- 1 times m-reduction [i] based on (27, 76, 513)-net in base 64, using
- base change [i] based on digital (8, 57, 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
- base change [i] based on digital (8, 57, 513)-net over F256, using
- 1 times m-reduction [i] based on (27, 76, 513)-net in base 64, using
- base change [i] based on (27, 75, 513)-net in base 64, using
(43, 43+48, 161062)-Net in Base 32 — Upper bound on s
There is no (43, 91, 161063)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 93039 650833 804298 993183 590416 017698 395127 944618 364597 715139 738084 206656 822556 391767 802377 327419 262658 405283 227271 705631 346873 454602 336916 > 3291 [i]