Best Known (10, 10+14, s)-Nets in Base 32
(10, 10+14, 104)-Net over F32 — Constructive and digital
Digital (10, 24, 104)-net over F32, using
- t-expansion [i] based on digital (9, 24, 104)-net over F32, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 9 and N(F) ≥ 104, using
- net from sequence [i] based on digital (9, 103)-sequence over F32, using
(10, 10+14, 119)-Net over F32 — Digital
Digital (10, 24, 119)-net over F32, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3224, 119, F32, 14) (dual of [119, 95, 15]-code), using
- 18 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 13 times 0) [i] based on linear OA(3221, 98, F32, 14) (dual of [98, 77, 15]-code), using
- extended algebraic-geometric code AGe(F,83P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- 18 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 13 times 0) [i] based on linear OA(3221, 98, F32, 14) (dual of [98, 77, 15]-code), using
(10, 10+14, 258)-Net in Base 32 — Constructive
(10, 24, 258)-net in base 32, using
- base change [i] based on digital (1, 15, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
(10, 10+14, 289)-Net in Base 32
(10, 24, 289)-net in base 32, using
- base change [i] based on digital (1, 15, 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
(10, 10+14, 15775)-Net in Base 32 — Upper bound on s
There is no (10, 24, 15776)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1 329539 135029 017687 710236 214311 959513 > 3224 [i]