Information on Result #682918
Linear OA(565, 3150, F5, 15) (dual of [3150, 3085, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(561, 3126, F5, 15) (dual of [3126, 3065, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(541, 3126, F5, 11) (dual of [3126, 3085, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), 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(566, 3151, F5, 15) (dual of [3151, 3085, 16]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(567, 3152, F5, 15) (dual of [3152, 3085, 16]-code) | [i] | ||
| 3 | Linear OA(566, 3152, F5, 15) (dual of [3152, 3086, 16]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OOA(565, 1575, F5, 2, 15) (dual of [(1575, 2), 3085, 16]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(565, 1050, F5, 3, 15) (dual of [(1050, 3), 3085, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(565, 449, F5, 15, 15) (dual of [(449, 15), 6670, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |