Information on Result #614220
Linear OA(5148, 164, F5, 93) (dual of [164, 16, 94]-code), using construction X applied to C([0,85]) ⊂ C([1,85]) 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(5140, 156, F5, 85) (dual of [156, 16, 86]-code), using the narrow-sense BCH-code C(I) with length 156 | 54−1, defining interval I = [1,85], and designed minimum distance d ≥ |I|+1 = 86 [i]
- linear OA(57, 8, F5, 7) (dual of [8, 1, 8]-code or 8-arc in PG(6,5)), using
- dual of repetition code with length 8 [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(5147, 163, F5, 92) (dual of [163, 16, 93]-code) | [i] | Truncation | |
| 2 | Linear OA(5146, 162, F5, 91) (dual of [162, 16, 92]-code) | [i] | ||
| 3 | Linear OA(5145, 161, F5, 90) (dual of [161, 16, 91]-code) | [i] | ||