Information on Result #686740
Linear OA(891, 32773, F8, 21) (dual of [32773, 32682, 22]-code), using construction X applied to Ce(20) ⊂ Ce(19) based on
- linear OA(891, 32768, F8, 21) (dual of [32768, 32677, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(886, 32768, F8, 20) (dual of [32768, 32682, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(80, 5, F8, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 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(8107, 32838, F8, 21) (dual of [32838, 32731, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(891, 16386, F8, 2, 21) (dual of [(16386, 2), 32681, 22]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(891, 10924, F8, 3, 21) (dual of [(10924, 3), 32681, 22]-NRT-code) | [i] | ||
| 4 | Linear OOA(891, 3277, F8, 21, 21) (dual of [(3277, 21), 68726, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |