Information on Result #698457
Linear OA(6489, 262151, F64, 30) (dual of [262151, 262062, 31]-code), using construction X applied to Ce(29) ⊂ Ce(27) based on
- linear OA(6488, 262144, F64, 30) (dual of [262144, 262056, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
- linear OA(6482, 262144, F64, 28) (dual of [262144, 262062, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(32107, 262151, S32, 30) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(6489, 131075, F64, 2, 30) (dual of [(131075, 2), 262061, 31]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(6489, 87383, F64, 3, 30) (dual of [(87383, 3), 262060, 31]-NRT-code) | [i] | ||