Information on Result #944791
Linear OOA(4917, 2882402, F49, 3, 5) (dual of [(2882402, 3), 8647189, 6]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OA(4917, 5764805, F49, 5) (dual of [5764805, 5764788, 6]-code), using
- construction X applied to Ce(4) ⊂ Ce(3) [i] based on
- linear OA(4917, 5764801, F49, 5) (dual of [5764801, 5764784, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(490, 4, F49, 0) (dual of [4, 4, 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, k and s, k and t, m and s, m 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(734, 5764804, F7, 3, 5) (dual of [(5764804, 3), 17294378, 6]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4919, 2882452, F49, 3, 5) (dual of [(2882452, 3), 8647337, 6]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4920, 2884853, F49, 3, 5) (dual of [(2884853, 3), 8654539, 6]-NRT-code) | [i] | ||
| 4 | Linear OOA(4922, 5764804, F49, 3, 5) (dual of [(5764804, 3), 17294390, 6]-NRT-code) | [i] | ||
| 5 | Linear OOA(4954, 3843202, F49, 3, 10) (dual of [(3843202, 3), 11529552, 11]-NRT-code) | [i] | ||
| 6 | Linear OOA(4955, 3843206, F49, 3, 10) (dual of [(3843206, 3), 11529563, 11]-NRT-code) | [i] | ||
| 7 | Linear OOA(4924, large, F49, 3, 5) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4923, large, F49, 3, 5) | [i] | ||