Information on Result #698428
Linear OA(6464, 262147, F64, 22) (dual of [262147, 262083, 23]-code), using construction X applied to Ce(21) ⊂ Ce(20) based on
- linear OA(6464, 262144, F64, 22) (dual of [262144, 262080, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(6461, 262144, F64, 21) (dual of [262144, 262083, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(8128, 524294, F8, 22) (dual of [524294, 524166, 23]-code) | [i] | Trace Code | |
| 2 | OA(1696, 262147, S16, 22) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3277, 262147, S32, 22) | [i] | ||
| 4 | Linear OA(6475, 262212, F64, 22) (dual of [262212, 262137, 23]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6476, 262227, F64, 22) (dual of [262227, 262151, 23]-code) | [i] | ||
| 6 | Linear OA(6477, 262229, F64, 22) (dual of [262229, 262152, 23]-code) | [i] | ||
| 7 | Linear OA(6478, 262251, F64, 22) (dual of [262251, 262173, 23]-code) | [i] | ||
| 8 | Linear OA(6479, 262253, F64, 22) (dual of [262253, 262174, 23]-code) | [i] | ||
| 9 | Linear OA(6480, 262277, F64, 22) (dual of [262277, 262197, 23]-code) | [i] | ||
| 10 | Linear OA(6481, 262292, F64, 22) (dual of [262292, 262211, 23]-code) | [i] | ||
| 11 | Linear OA(6482, 262344, F64, 22) (dual of [262344, 262262, 23]-code) | [i] | ||
| 12 | Linear OA(6483, 262464, F64, 22) (dual of [262464, 262381, 23]-code) | [i] | ||
| 13 | Linear OA(6484, 262734, F64, 22) (dual of [262734, 262650, 23]-code) | [i] | ||
| 14 | Linear OOA(6464, 131073, F64, 2, 22) (dual of [(131073, 2), 262082, 23]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(6464, 87382, F64, 3, 22) (dual of [(87382, 3), 262082, 23]-NRT-code) | [i] | ||