Information on Result #698445
Linear OA(6431, 262147, F64, 11) (dual of [262147, 262116, 12]-code), using construction X applied to Ce(10) ⊂ Ce(9) based on
- linear OA(6431, 262144, F64, 11) (dual of [262144, 262113, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(6428, 262144, F64, 10) (dual of [262144, 262116, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(862, 524294, F8, 11) (dual of [524294, 524232, 12]-code) | [i] | Trace Code | |
| 2 | OA(1647, 262147, S16, 11) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3238, 262147, S32, 11) | [i] | ||
| 4 | Linear OA(6436, 262212, F64, 11) (dual of [262212, 262176, 12]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6437, 262227, F64, 11) (dual of [262227, 262190, 12]-code) | [i] | ||
| 6 | Linear OA(6438, 266180, F64, 11) (dual of [266180, 266142, 12]-code) | [i] | ||
| 7 | Linear OA(6440, 266245, F64, 11) (dual of [266245, 266205, 12]-code) | [i] | ||
| 8 | Linear OOA(6431, 131073, F64, 2, 11) (dual of [(131073, 2), 262115, 12]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(6431, 87382, F64, 3, 11) (dual of [(87382, 3), 262115, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(6431, 52429, F64, 11, 11) (dual of [(52429, 11), 576688, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |