Information on Result #895143
Linear OOA(3200, 4783018, F3, 2, 15) (dual of [(4783018, 2), 9565836, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(314, 34, F3, 2, 7) (dual of [(34, 2), 54, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 14, 34)-net over F3, using
- linear OOA(3186, 4782984, F3, 2, 15) (dual of [(4782984, 2), 9565782, 16]-NRT-code), using
- trace code [i] based on linear OOA(993, 2391492, F9, 2, 15) (dual of [(2391492, 2), 4782891, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(993, 4782984, F9, 15) (dual of [4782984, 4782891, 16]-code), using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(91, 15, F9, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(14) ⊂ Ce(12) [i] based on
- OOA 2-folding [i] based on linear OA(993, 4782984, F9, 15) (dual of [4782984, 4782891, 16]-code), using
- trace code [i] based on linear OOA(993, 2391492, F9, 2, 15) (dual of [(2391492, 2), 4782891, 16]-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(3200, 2391509, F3, 4, 15) (dual of [(2391509, 4), 9565836, 16]-NRT-code) | [i] | OOA Folding | |