Information on Result #698243
Linear OA(4916, 2406, F49, 8) (dual of [2406, 2390, 9]-code), using construction X applied to Ce(7) ⊂ Ce(5) based on
- linear OA(4915, 2401, F49, 8) (dual of [2401, 2386, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 2400 = 492−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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(491, 5, F49, 1) (dual of [5, 4, 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 OOA(4916, 1203, F49, 2, 8) (dual of [(1203, 2), 2390, 9]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4916, 802, F49, 3, 8) (dual of [(802, 3), 2390, 9]-NRT-code) | [i] | ||
| 3 | Linear OOA(4916, 601, F49, 8, 8) (dual of [(601, 8), 4792, 9]-NRT-code) | [i] | OA Folding and Stacking | |