Information on Result #698293
Linear OA(4923, 2415, F49, 10) (dual of [2415, 2392, 11]-code), using construction X applied to Ce(9) ⊂ Ce(4) based on
- linear OA(4919, 2401, F49, 10) (dual of [2401, 2382, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(499, 2401, F49, 5) (dual of [2401, 2392, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(494, 14, F49, 4) (dual of [14, 10, 5]-code or 14-arc in PG(3,49)), using
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), using
- Reed–Solomon code RS(45,49) [i]
- discarding factors / shortening the dual code based on linear OA(494, 49, F49, 4) (dual of [49, 45, 5]-code or 49-arc in PG(3,49)), 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(4923, 1207, F49, 2, 10) (dual of [(1207, 2), 2391, 11]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4923, 805, F49, 3, 10) (dual of [(805, 3), 2392, 11]-NRT-code) | [i] | ||
| 3 | Linear OOA(4923, 483, F49, 10, 10) (dual of [(483, 10), 4807, 11]-NRT-code) | [i] | OA Folding and Stacking | |