Information on Result #1016048
Linear OOA(991, 5592484, F9, 3, 11) (dual of [(5592484, 3), 16777361, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(99, 82, F9, 3, 5) (dual of [(82, 3), 237, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (4, 9, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(4,81) in PG(8,9)) for nets [i] based on digital (0, 5, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- base reduction for projective spaces (embedding PG(4,81) in PG(8,9)) for nets [i] based on digital (0, 5, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (4, 9, 82)-net over F9, using
- linear OOA(982, 5592402, F9, 3, 11) (dual of [(5592402, 3), 16777124, 12]-NRT-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8141, large, F81, 11) (dual of [large, large−41, 12]-code), using
- trace code [i] based on linear OOA(8141, 2796201, F81, 3, 11) (dual of [(2796201, 3), 8388562, 12]-NRT-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(991, 2796241, F9, 15, 11) (dual of [(2796241, 15), 41943524, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |