Information on Result #698439
Linear OA(6443, 262147, F64, 15) (dual of [262147, 262104, 16]-code), using construction X applied to Ce(14) ⊂ Ce(13) based on
- linear OA(6443, 262144, F64, 15) (dual of [262144, 262101, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(640, 3, F64, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(640, s, F64, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(886, 524294, F8, 15) (dual of [524294, 524208, 16]-code) | [i] | Trace Code | |
| 2 | OA(1665, 262147, S16, 15) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3252, 262147, S32, 15) | [i] | ||
| 4 | Linear OA(6450, 262212, F64, 15) (dual of [262212, 262162, 16]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6451, 262227, F64, 15) (dual of [262227, 262176, 16]-code) | [i] | ||
| 6 | Linear OA(6452, 262229, F64, 15) (dual of [262229, 262177, 16]-code) | [i] | ||
| 7 | Linear OA(6453, 262277, F64, 15) (dual of [262277, 262224, 16]-code) | [i] | ||
| 8 | Linear OA(6454, 262342, F64, 15) (dual of [262342, 262288, 16]-code) | [i] | ||
| 9 | Linear OA(6455, 262465, F64, 15) (dual of [262465, 262410, 16]-code) | [i] | ||
| 10 | Linear OA(6456, 266245, F64, 15) (dual of [266245, 266189, 16]-code) | [i] | ||
| 11 | Linear OOA(6443, 131073, F64, 2, 15) (dual of [(131073, 2), 262103, 16]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(6443, 87382, F64, 3, 15) (dual of [(87382, 3), 262103, 16]-NRT-code) | [i] | ||