Information on Result #893809
Linear OOA(3172, 4782984, F3, 2, 14) (dual of [(4782984, 2), 9565796, 15]-NRT-code), using trace code based on linear OOA(986, 2391492, F9, 2, 14) (dual of [(2391492, 2), 4782898, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(986, 4782984, F9, 14) (dual of [4782984, 4782898, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(13) ⊂ Ce(11) [i] based on
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(3173, 4782984, F3, 2, 14) (dual of [(4782984, 2), 9565795, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3186, 4783018, F3, 2, 14) (dual of [(4783018, 2), 9565850, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(3188, 4783025, F3, 2, 14) (dual of [(4783025, 2), 9565862, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(3172, 2391492, F3, 4, 14) (dual of [(2391492, 4), 9565796, 15]-NRT-code) | [i] | OOA Folding | |