Information on Result #698117
Linear OA(4941, 117656, F49, 14) (dual of [117656, 117615, 15]-code), using construction X applied to Ce(13) ⊂ Ce(11) 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(4934, 117649, F49, 12) (dual of [117649, 117615, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 117648 = 493−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(491, 7, F49, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(491, s, F49, 1) (dual of [s, s−1, 2]-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(782, 235312, F7, 14) (dual of [235312, 235230, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(4948, 117706, F49, 14) (dual of [117706, 117658, 15]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(4949, 117709, F49, 14) (dual of [117709, 117660, 15]-code) | [i] | ||
| 4 | Linear OOA(4941, 58828, F49, 2, 14) (dual of [(58828, 2), 117615, 15]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4941, 39218, F49, 3, 14) (dual of [(39218, 3), 117613, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(4941, 16808, F49, 14, 14) (dual of [(16808, 14), 235271, 15]-NRT-code) | [i] | OA Folding and Stacking | |