Information on Result #698098
Linear OA(4940, 117652, F49, 14) (dual of [117652, 117612, 15]-code), using construction X applied to Ce(13) ⊂ Ce(12) based on
- linear OA(4940, 117649, F49, 14) (dual of [117649, 117609, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(4937, 117649, F49, 13) (dual of [117649, 117612, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(490, 3, F49, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(490, s, F49, 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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(780, 235304, F7, 14) (dual of [235304, 235224, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(4947, 117702, F49, 14) (dual of [117702, 117655, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4948, 117705, F49, 14) (dual of [117705, 117657, 15]-code) | [i] | ||
| 4 | Linear OA(4949, 117707, F49, 14) (dual of [117707, 117658, 15]-code) | [i] | ||
| 5 | Linear OA(4950, 117752, F49, 14) (dual of [117752, 117702, 15]-code) | [i] | ||
| 6 | Linear OA(4951, 117802, F49, 14) (dual of [117802, 117751, 15]-code) | [i] | ||
| 7 | Linear OA(4952, 117895, F49, 14) (dual of [117895, 117843, 15]-code) | [i] | ||
| 8 | Linear OOA(4940, 58826, F49, 2, 14) (dual of [(58826, 2), 117612, 15]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4940, 39217, F49, 3, 14) (dual of [(39217, 3), 117611, 15]-NRT-code) | [i] | ||