Information on Result #683965
Linear OA(5150, 169, F5, 91) (dual of [169, 19, 92]-code), using construction X applied to C([0,85]) ⊂ C([0,80]) based on
- linear OA(5141, 156, F5, 93) (dual of [156, 15, 94]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,85], and minimum distance d ≥ |{−7,−6,…,85}|+1 = 94 (BCH-bound) [i]
- linear OA(5137, 156, F5, 83) (dual of [156, 19, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [0,80], and minimum distance d ≥ |{−2,−1,…,80}|+1 = 84 (BCH-bound) [i]
- linear OA(59, 13, F5, 7) (dual of [13, 4, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 13 | 54−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [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(5150, 169, F5, 90) (dual of [169, 19, 91]-code) | [i] | Strength Reduction | |