Information on Result #682017
Linear OA(463, 89, F4, 31) (dual of [89, 26, 32]-code), using construction X applied to C([0,29]) ⊂ C([0,28]) based on
- linear OA(463, 85, F4, 31) (dual of [85, 22, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [0,29], and minimum distance d ≥ |{−1,0,…,29}|+1 = 32 (BCH-bound) [i]
- linear OA(459, 85, F4, 30) (dual of [85, 26, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 85 | 44−1, defining interval I = [0,28], and minimum distance d ≥ |{−1,0,…,28}|+1 = 31 (BCH-bound) [i]
- linear OA(40, 4, F4, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-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.
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(463, 44, F4, 2, 31) (dual of [(44, 2), 25, 32]-NRT-code) | [i] | OOA Folding | |