Information on Result #686241
Linear OA(878, 2097159, F8, 13) (dual of [2097159, 2097081, 14]-code), using construction X applied to Ce(12) ⊂ Ce(11) based on
- linear OA(878, 2097152, F8, 13) (dual of [2097152, 2097074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(871, 2097152, F8, 12) (dual of [2097152, 2097081, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 87−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(80, 7, F8, 0) (dual of [7, 7, 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(888, 2097198, F8, 13) (dual of [2097198, 2097110, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OOA(878, 1048579, F8, 2, 13) (dual of [(1048579, 2), 2097080, 14]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(878, 699053, F8, 3, 13) (dual of [(699053, 3), 2097081, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(878, 349526, F8, 13, 13) (dual of [(349526, 13), 4543760, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |