Information on Result #699108
Linear OA(8174, 531449, F81, 25) (dual of [531449, 531375, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,11]) based on
- linear OA(8173, 531442, F81, 25) (dual of [531442, 531369, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(8167, 531442, F81, 23) (dual of [531442, 531375, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(811, 7, F81, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(811, s, F81, 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 OA(9148, 1062898, F9, 25) (dual of [1062898, 1062750, 26]-code) | [i] | Trace Code | |
| 2 | Linear OOA(8174, 265724, F81, 2, 25) (dual of [(265724, 2), 531374, 26]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8174, 177149, F81, 3, 25) (dual of [(177149, 3), 531373, 26]-NRT-code) | [i] | ||
| 4 | Linear OOA(8174, 132862, F81, 4, 25) (dual of [(132862, 4), 531374, 26]-NRT-code) | [i] | ||
| 5 | Linear OOA(8174, 44287, F81, 25, 25) (dual of [(44287, 25), 1107101, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |