Information on Result #699299
Linear OA(8150, 6567, F81, 25) (dual of [6567, 6517, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,11]) based on
- linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(8145, 6562, F81, 23) (dual of [6562, 6517, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
- linear OA(811, 5, F81, 1) (dual of [5, 4, 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(9100, 13134, F9, 25) (dual of [13134, 13034, 26]-code) | [i] | Trace Code | |
| 2 | OA(2767, 6567, S27, 25) | [i] | Discarding Parts of the Base for OAs | |
| 3 | Linear OA(8164, 6683, F81, 25) (dual of [6683, 6619, 26]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(8171, 6979, F81, 25) (dual of [6979, 6908, 26]-code) | [i] | ||
| 5 | Linear OOA(8150, 3283, F81, 2, 25) (dual of [(3283, 2), 6516, 26]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(8150, 2189, F81, 3, 25) (dual of [(2189, 3), 6517, 26]-NRT-code) | [i] | ||
| 7 | Linear OOA(8150, 1641, F81, 4, 25) (dual of [(1641, 4), 6514, 26]-NRT-code) | [i] | ||
| 8 | Linear OOA(8150, 547, F81, 25, 25) (dual of [(547, 25), 13625, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |