Information on Result #698449
Linear OA(6422, 262147, F64, 8) (dual of [262147, 262125, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- linear OA(6422, 262144, F64, 8) (dual of [262144, 262122, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(6419, 262144, F64, 7) (dual of [262144, 262125, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(844, 524294, F8, 8) (dual of [524294, 524250, 9]-code) | [i] | Trace Code | |
| 2 | OA(1633, 262147, S16, 8) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3227, 262147, S32, 8) | [i] | ||
| 4 | Linear OA(6426, 262212, F64, 8) (dual of [262212, 262186, 9]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6427, 262227, F64, 8) (dual of [262227, 262200, 9]-code) | [i] | ||
| 6 | Linear OA(6428, 266179, F64, 8) (dual of [266179, 266151, 9]-code) | [i] | ||
| 7 | Linear OOA(6422, 131073, F64, 2, 8) (dual of [(131073, 2), 262124, 9]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(6422, 87382, F64, 3, 8) (dual of [(87382, 3), 262124, 9]-NRT-code) | [i] | ||