Information on Result #698467
Linear OA(6429, 262151, F64, 10) (dual of [262151, 262122, 11]-code), using construction X applied to Ce(9) ⊂ Ce(7) based on
- 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(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(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 | OA(1644, 262151, S16, 10) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(3235, 262151, S32, 10) | [i] | ||
| 3 | Linear OA(6436, 266184, F64, 10) (dual of [266184, 266148, 11]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OOA(6429, 131075, F64, 2, 10) (dual of [(131075, 2), 262121, 11]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6429, 87383, F64, 3, 10) (dual of [(87383, 3), 262120, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(6429, 52430, F64, 10, 10) (dual of [(52430, 10), 524271, 11]-NRT-code) | [i] | OA Folding and Stacking | |