Information on Result #688733
Linear OA(848, 84, F8, 25) (dual of [84, 36, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) based on
- linear OA(841, 65, F8, 25) (dual of [65, 24, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(829, 65, F8, 19) (dual of [65, 36, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(87, 19, F8, 5) (dual of [19, 12, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(848, 42, F8, 2, 25) (dual of [(42, 2), 36, 26]-NRT-code) | [i] | OOA Folding | |