Information on Result #698192
Linear OA(4948, 2425, F49, 21) (dual of [2425, 2377, 22]-code), using construction X applied to C([0,10]) ⊂ C([0,6]) based on
- linear OA(4941, 2402, F49, 21) (dual of [2402, 2361, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(4925, 2402, F49, 13) (dual of [2402, 2377, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(497, 23, F49, 7) (dual of [23, 16, 8]-code or 23-arc in PG(6,49)), using
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), using
- Reed–Solomon code RS(42,49) [i]
- discarding factors / shortening the dual code based on linear OA(497, 49, F49, 7) (dual of [49, 42, 8]-code or 49-arc in PG(6,49)), 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(4948, 1212, F49, 2, 21) (dual of [(1212, 2), 2376, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4948, 808, F49, 3, 21) (dual of [(808, 3), 2376, 22]-NRT-code) | [i] | ||