Information on Result #614210
Linear OA(5139, 159, F5, 83) (dual of [159, 20, 84]-code), using construction X applied to C([0,80]) ⊂ C([1,80]) based on
- 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(5136, 156, F5, 80) (dual of [156, 20, 81]-code), using the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,80], and designed minimum distance d ≥ |I|+1 = 81 [i]
- linear OA(52, 3, F5, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,5)), using
- dual of repetition code with length 3 [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(5139, 159, F5, 82) (dual of [159, 20, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5138, 158, F5, 82) (dual of [158, 20, 83]-code) | [i] | Truncation | |
| 3 | Linear OA(5137, 157, F5, 81) (dual of [157, 20, 82]-code) | [i] | ||