Information on Result #686485
Linear OA(874, 262157, F8, 14) (dual of [262157, 262083, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) based on
- linear OA(873, 262144, F8, 14) (dual of [262144, 262071, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-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 OOA(874, 235531, F8, 2, 14) (dual of [(235531, 2), 470988, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(874, 235531, F8, 3, 14) (dual of [(235531, 3), 706519, 15]-NRT-code) | [i] | ||
| 3 | Digital (60, 74, 235531)-net over F8 | [i] | ||
| 4 | Linear OOA(874, 131078, F8, 2, 14) (dual of [(131078, 2), 262082, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(874, 87385, F8, 3, 14) (dual of [(87385, 3), 262081, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(874, 37451, F8, 14, 14) (dual of [(37451, 14), 524240, 15]-NRT-code) | [i] | OA Folding and Stacking | |