Information on Result #683976
Linear OA(597, 161, F5, 42) (dual of [161, 64, 43]-code), using construction X applied to C([0,40]) ⊂ C([1,38]) based on
- linear OA(594, 156, F5, 42) (dual of [156, 62, 43]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,40], and minimum distance d ≥ |{−1,0,…,40}|+1 = 43 (BCH-bound) [i]
- linear OA(592, 156, F5, 38) (dual of [156, 64, 39]-code), using the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(53, 5, F5, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,5) or 5-cap in PG(2,5)), using
- Reed–Solomon code RS(2,5) [i]
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(597, 161, F5, 41) (dual of [161, 64, 42]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(597, 161, F5, 40) (dual of [161, 64, 41]-code) | [i] | ||