Information on Result #895352
Linear OOA(3243, 4194365, F3, 2, 22) (dual of [(4194365, 2), 8388487, 23]-NRT-code), using (u, u+v)-construction based on
- linear OOA(332, 64, F3, 2, 11) (dual of [(64, 2), 96, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (21, 32, 64)-net over F3, using
- trace code for nets [i] based on digital (5, 16, 32)-net over F9, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 5 and N(F) ≥ 32, using
- net from sequence [i] based on digital (5, 31)-sequence over F9, using
- trace code for nets [i] based on digital (5, 16, 32)-net over F9, using
- extracting embedded OOA [i] based on digital (21, 32, 64)-net over F3, using
- linear OOA(3211, 4194301, F3, 2, 22) (dual of [(4194301, 2), 8388391, 23]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
- discarding factors / shortening the dual code based on linear OA(3211, large, F3, 22) (dual of [large, large−211, 23]-code), using
- OOA 2-folding [i] based on linear OA(3211, 8388602, F3, 22) (dual of [8388602, 8388391, 23]-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(3243, 2097182, F3, 4, 22) (dual of [(2097182, 4), 8388485, 23]-NRT-code) | [i] | OOA Folding | |