Information on Result #675862
Linear OA(3249, 2254, F3, 49) (dual of [2254, 2005, 50]-code), using construction X applied to C([0,24]) ⊂ C([0,19]) based on
- linear OA(3225, 2188, F3, 49) (dual of [2188, 1963, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(3183, 2188, F3, 39) (dual of [2188, 2005, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(324, 66, F3, 9) (dual of [66, 42, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(324, 80, F3, 9) (dual of [80, 56, 10]-code), 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 OA(3248, 2253, F3, 48) (dual of [2253, 2005, 49]-code) | [i] | Truncation | |
| 2 | Linear OOA(3249, 1127, F3, 2, 49) (dual of [(1127, 2), 2005, 50]-NRT-code) | [i] | OOA Folding | |