Information on Result #683289
Linear OA(553, 646, F5, 15) (dual of [646, 593, 16]-code), using construction X applied to C([0,7]) ⊂ C([0,5]) based on
- linear OA(549, 626, F5, 15) (dual of [626, 577, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- linear OA(533, 626, F5, 11) (dual of [626, 593, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(54, 20, F5, 3) (dual of [20, 16, 4]-code or 20-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 OOA(553, 323, F5, 2, 15) (dual of [(323, 2), 593, 16]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(553, 215, F5, 3, 15) (dual of [(215, 3), 592, 16]-NRT-code) | [i] | ||