Information on Result #1059883
Linear OOA(3158, 2391492, F3, 4, 13) (dual of [(2391492, 4), 9565810, 14]-NRT-code), using OOA 2-folding based on linear OOA(3158, 4782984, F3, 2, 13) (dual of [(4782984, 2), 9565810, 14]-NRT-code), using
- trace code [i] based on linear OOA(979, 2391492, F9, 2, 13) (dual of [(2391492, 2), 4782905, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- 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(964, 4782969, F9, 11) (dual of [4782969, 4782905, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [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(12) ⊂ Ce(10) [i] based on
- OOA 2-folding [i] based on linear OA(979, 4782984, F9, 13) (dual of [4782984, 4782905, 14]-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(3159, 2391492, F3, 4, 13) (dual of [(2391492, 4), 9565809, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3171, 2391534, F3, 4, 13) (dual of [(2391534, 4), 9565965, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |