Information on Result #698422
Linear OA(6476, 262147, F64, 26) (dual of [262147, 262071, 27]-code), using construction X applied to Ce(25) ⊂ Ce(24) based on
- linear OA(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(6473, 262144, F64, 25) (dual of [262144, 262071, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(8152, 524294, F8, 26) (dual of [524294, 524142, 27]-code) | [i] | Trace Code | |
| 2 | OA(16114, 262147, S16, 26) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3292, 262147, S32, 26) | [i] | ||
| 4 | Linear OA(6489, 262212, F64, 26) (dual of [262212, 262123, 27]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6490, 262227, F64, 26) (dual of [262227, 262137, 27]-code) | [i] | ||
| 6 | Linear OA(6491, 262229, F64, 26) (dual of [262229, 262138, 27]-code) | [i] | ||
| 7 | Linear OOA(6476, 131073, F64, 2, 26) (dual of [(131073, 2), 262070, 27]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(6476, 87382, F64, 3, 26) (dual of [(87382, 3), 262070, 27]-NRT-code) | [i] | ||
| 9 | Linear OOA(6476, 20165, F64, 26, 26) (dual of [(20165, 26), 524214, 27]-NRT-code) | [i] | OA Folding and Stacking | |