Information on Result #698182
Linear OA(4920, 2413, F49, 9) (dual of [2413, 2393, 10]-code), using construction X applied to C([0,4]) ⊂ C([0,2]) based on
- linear OA(4917, 2402, F49, 9) (dual of [2402, 2385, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(499, 2402, F49, 5) (dual of [2402, 2393, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(493, 11, F49, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,49) or 11-cap in PG(2,49)), using
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), using
- Reed–Solomon code RS(46,49) [i]
- discarding factors / shortening the dual code based on linear OA(493, 49, F49, 3) (dual of [49, 46, 4]-code or 49-arc in PG(2,49) or 49-cap in PG(2,49)), 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(4920, 1206, F49, 2, 9) (dual of [(1206, 2), 2392, 10]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4920, 804, F49, 3, 9) (dual of [(804, 3), 2392, 10]-NRT-code) | [i] | ||
| 3 | Linear OOA(4920, 603, F49, 9, 9) (dual of [(603, 9), 5407, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |