Information on Result #698458
Linear OA(6483, 262151, F64, 28) (dual of [262151, 262068, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- 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(6476, 262144, F64, 26) (dual of [262144, 262068, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(8166, 524302, F8, 28) (dual of [524302, 524136, 29]-code) | [i] | Trace Code | |
| 2 | OA(16125, 262151, S16, 28) | [i] | Discarding Parts of the Base for OAs | |
| 3 | OA(32100, 262151, S32, 28) | [i] | ||
| 4 | Linear OOA(6483, 131075, F64, 2, 28) (dual of [(131075, 2), 262067, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(6483, 87383, F64, 3, 28) (dual of [(87383, 3), 262066, 29]-NRT-code) | [i] | ||
| 6 | Linear OOA(6483, 18725, F64, 28, 28) (dual of [(18725, 28), 524217, 29]-NRT-code) | [i] | OA Folding and Stacking | |