Information on Result #980021
Linear OOA(8111, 10924, F8, 3, 26) (dual of [(10924, 3), 32661, 27]-NRT-code), using OOA 3-folding based on linear OA(8111, 32772, F8, 26) (dual of [32772, 32661, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(8111, 32773, F8, 26) (dual of [32773, 32662, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
- linear OA(8111, 32768, F8, 26) (dual of [32768, 32657, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(8106, 32768, F8, 25) (dual of [32768, 32662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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
- construction X applied to Ce(25) ⊂ Ce(24) [i] based on
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 OOA(8112, 10924, F8, 3, 26) (dual of [(10924, 3), 32660, 27]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8127, 10948, F8, 3, 26) (dual of [(10948, 3), 32717, 27]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8128, 10949, F8, 3, 26) (dual of [(10949, 3), 32719, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(8129, 10952, F8, 3, 26) (dual of [(10952, 3), 32727, 27]-NRT-code) | [i] | ||
| 5 | Linear OOA(8131, 10958, F8, 3, 26) (dual of [(10958, 3), 32743, 27]-NRT-code) | [i] | ||
| 6 | Linear OOA(8132, 10959, F8, 3, 26) (dual of [(10959, 3), 32745, 27]-NRT-code) | [i] | ||