Information on Result #698443
Linear OA(6434, 262147, F64, 12) (dual of [262147, 262113, 13]-code), using construction X applied to Ce(11) ⊂ Ce(10) based on
- linear OA(6434, 262144, F64, 12) (dual of [262144, 262110, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 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(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(868, 524294, F8, 12) (dual of [524294, 524226, 13]-code) | [i] | Trace Code | |
| 2 | OA(1651, 262147, S16, 12) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3241, 262147, S32, 12) | [i] | ||
| 4 | Linear OA(6440, 262212, F64, 12) (dual of [262212, 262172, 13]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(6441, 262227, F64, 12) (dual of [262227, 262186, 13]-code) | [i] | ||
| 6 | Linear OA(6442, 262229, F64, 12) (dual of [262229, 262187, 13]-code) | [i] | ||
| 7 | Linear OA(6443, 262277, F64, 12) (dual of [262277, 262234, 13]-code) | [i] | ||
| 8 | Linear OA(6444, 262464, F64, 12) (dual of [262464, 262420, 13]-code) | [i] | ||
| 9 | Linear OOA(6434, 131073, F64, 2, 12) (dual of [(131073, 2), 262112, 13]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(6434, 87382, F64, 3, 12) (dual of [(87382, 3), 262112, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(6434, 43691, F64, 12, 12) (dual of [(43691, 12), 524258, 13]-NRT-code) | [i] | OA Folding and Stacking | |