Information on Result #686749
Linear OA(856, 32773, F8, 13) (dual of [32773, 32717, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(856, 32768, F8, 13) (dual of [32768, 32712, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(866, 32812, F8, 13) (dual of [32812, 32746, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(856, 16386, F8, 2, 13) (dual of [(16386, 2), 32716, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(856, 10924, F8, 3, 13) (dual of [(10924, 3), 32716, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(856, 5462, F8, 13, 13) (dual of [(5462, 13), 70950, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |