Information on Result #698300
Linear OA(4928, 2418, F49, 12) (dual of [2418, 2390, 13]-code), using construction X applied to Ce(11) ⊂ Ce(5) based on
- linear OA(4923, 2401, F49, 12) (dual of [2401, 2378, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(4911, 2401, F49, 6) (dual of [2401, 2390, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(495, 17, F49, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,49)), using
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), using
- Reed–Solomon code RS(44,49) [i]
- discarding factors / shortening the dual code based on linear OA(495, 49, F49, 5) (dual of [49, 44, 6]-code or 49-arc in PG(4,49)), 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(4928, 1209, F49, 2, 12) (dual of [(1209, 2), 2390, 13]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4928, 806, F49, 3, 12) (dual of [(806, 3), 2390, 13]-NRT-code) | [i] | ||
| 3 | Linear OOA(4928, 403, F49, 12, 12) (dual of [(403, 12), 4808, 13]-NRT-code) | [i] | OA Folding and Stacking | |