Information on Result #698452
Linear OA(6416, 262147, F64, 6) (dual of [262147, 262131, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(6416, 262144, F64, 6) (dual of [262144, 262128, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(6413, 262144, F64, 5) (dual of [262144, 262131, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(832, 524294, F8, 6) (dual of [524294, 524262, 7]-code) | [i] | Trace Code | |
| 2 | OA(1624, 262147, S16, 6) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3220, 262147, S32, 6) | [i] | ||
| 4 | Linear OA(6419, 262213, F64, 6) (dual of [262213, 262194, 7]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6420, 266244, F64, 6) (dual of [266244, 266224, 7]-code) | [i] | ||
| 6 | Linear OOA(6416, 131073, F64, 2, 6) (dual of [(131073, 2), 262130, 7]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(6416, 87382, F64, 3, 6) (dual of [(87382, 3), 262130, 7]-NRT-code) | [i] | ||
| 8 | Linear OOA(6416, 87382, F64, 6, 6) (dual of [(87382, 6), 524276, 7]-NRT-code) | [i] | OA Folding and Stacking | |