Information on Result #698425
Linear OA(6470, 262147, F64, 24) (dual of [262147, 262077, 25]-code), using construction X applied to Ce(23) ⊂ Ce(22) based on
- linear OA(6470, 262144, F64, 24) (dual of [262144, 262074, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(6467, 262144, F64, 23) (dual of [262144, 262077, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(8140, 524294, F8, 24) (dual of [524294, 524154, 25]-code) | [i] | Trace Code | |
| 2 | OA(16105, 262147, S16, 24) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3284, 262147, S32, 24) | [i] | ||
| 4 | Linear OA(6482, 262212, F64, 24) (dual of [262212, 262130, 25]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6483, 262227, F64, 24) (dual of [262227, 262144, 25]-code) | [i] | ||
| 6 | Linear OA(6484, 262229, F64, 24) (dual of [262229, 262145, 25]-code) | [i] | ||
| 7 | Linear OA(6485, 262251, F64, 24) (dual of [262251, 262166, 25]-code) | [i] | ||
| 8 | Linear OA(6486, 262253, F64, 24) (dual of [262253, 262167, 25]-code) | [i] | ||
| 9 | Linear OA(6487, 262275, F64, 24) (dual of [262275, 262188, 25]-code) | [i] | ||
| 10 | Linear OA(6488, 262277, F64, 24) (dual of [262277, 262189, 25]-code) | [i] | ||
| 11 | Linear OA(6489, 262324, F64, 24) (dual of [262324, 262235, 25]-code) | [i] | ||
| 12 | Linear OA(6490, 262346, F64, 24) (dual of [262346, 262256, 25]-code) | [i] | ||
| 13 | Linear OA(6491, 262465, F64, 24) (dual of [262465, 262374, 25]-code) | [i] | ||
| 14 | Linear OOA(6470, 131073, F64, 2, 24) (dual of [(131073, 2), 262076, 25]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(6470, 87382, F64, 3, 24) (dual of [(87382, 3), 262076, 25]-NRT-code) | [i] | ||