Information on Result #618390
Linear OA(3289, 205, F32, 53) (dual of [205, 116, 54]-code), using the expurgated narrow-sense BCH-code C(I) with length 205 | 324−1, defining interval I = [0,26], and minimum distance d ≥ |{−26,−25,…,26}|+1 = 54 (BCH-bound)
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(3289, 205, F32, 52) (dual of [205, 116, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3289, 205, F32, 51) (dual of [205, 116, 52]-code) | [i] | ||
| 3 | Linear OA(3290, 206, F32, 53) (dual of [206, 116, 54]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3291, 207, F32, 53) (dual of [207, 116, 54]-code) | [i] | ||
| 5 | Linear OA(3288, 204, F32, 52) (dual of [204, 116, 53]-code) | [i] | Truncation | |
| 6 | Linear OA(3287, 203, F32, 51) (dual of [203, 116, 52]-code) | [i] | ||
| 7 | Linear OA(3286, 202, F32, 50) (dual of [202, 116, 51]-code) | [i] | ||
| 8 | Linear OA(3285, 201, F32, 49) (dual of [201, 116, 50]-code) | [i] | ||
| 9 | Linear OA(3294, 210, F32, 55) (dual of [210, 116, 56]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 10 | Linear OA(3294, 214, F32, 53) (dual of [214, 120, 54]-code) | [i] | ✔ | |
| 11 | Linear OA(32100, 216, F32, 57) (dual of [216, 116, 58]-code) | [i] | ✔ | |
| 12 | Linear OA(3296, 220, F32, 53) (dual of [220, 124, 54]-code) | [i] | ✔ | |
| 13 | Linear OOA(3289, 102, F32, 2, 53) (dual of [(102, 2), 115, 54]-NRT-code) | [i] | OOA Folding | |