Information on Result #686737
Linear OA(8101, 32773, F8, 23) (dual of [32773, 32672, 24]-code), using construction X applied to Ce(22) ⊂ Ce(21) based on
- linear OA(8101, 32768, F8, 23) (dual of [32768, 32667, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(8119, 32839, F8, 23) (dual of [32839, 32720, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8120, 32841, F8, 23) (dual of [32841, 32721, 24]-code) | [i] | ||
| 3 | Linear OOA(8101, 16386, F8, 2, 23) (dual of [(16386, 2), 32671, 24]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8101, 10924, F8, 3, 23) (dual of [(10924, 3), 32671, 24]-NRT-code) | [i] | ||
| 5 | Linear OOA(8101, 2979, F8, 23, 23) (dual of [(2979, 23), 68416, 24]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |