Information on Result #696487
Linear OA(3234, 1048586, F32, 9) (dual of [1048586, 1048552, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,3]) based on
- linear OA(3233, 1048577, F32, 9) (dual of [1048577, 1048544, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(3225, 1048577, F32, 7) (dual of [1048577, 1048552, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 1048577 | 328−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(321, 9, F32, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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 OOA(3234, 524293, F32, 2, 9) (dual of [(524293, 2), 1048552, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3234, 262146, F32, 9, 9) (dual of [(262146, 9), 2359280, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |