Information on Result #698465
Linear OA(6441, 262151, F64, 14) (dual of [262151, 262110, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
- linear OA(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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(641, 7, F64, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-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(882, 524302, F8, 14) (dual of [524302, 524220, 15]-code) | [i] | Trace Code | |
| 2 | OA(1662, 262151, S16, 14) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(3250, 262151, S32, 14) | [i] | ||
| 4 | Linear OA(6449, 262231, F64, 14) (dual of [262231, 262182, 15]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OOA(6441, 131075, F64, 2, 14) (dual of [(131075, 2), 262109, 15]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(6441, 87383, F64, 3, 14) (dual of [(87383, 3), 262108, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(6441, 37450, F64, 14, 14) (dual of [(37450, 14), 524259, 15]-NRT-code) | [i] | OA Folding and Stacking | |