Information on Result #698034
Linear OA(4933, 5764805, F49, 9) (dual of [5764805, 5764772, 10]-code), using construction X applied to Ce(8) ⊂ Ce(7) based on
- linear OA(4933, 5764801, F49, 9) (dual of [5764801, 5764768, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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, 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(4937, 5764855, F49, 9) (dual of [5764855, 5764818, 10]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4938, 5764858, F49, 9) (dual of [5764858, 5764820, 10]-code) | [i] | ||
| 3 | Linear OA(4939, 5767157, F49, 9) (dual of [5767157, 5767118, 10]-code) | [i] | ||
| 4 | Linear OA(4940, 5767208, F49, 9) (dual of [5767208, 5767168, 10]-code) | [i] | ||
| 5 | Linear OOA(4933, 2882402, F49, 2, 9) (dual of [(2882402, 2), 5764771, 10]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(4933, 1921601, F49, 3, 9) (dual of [(1921601, 3), 5764770, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(4933, 1441201, F49, 9, 9) (dual of [(1441201, 9), 12970776, 10]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |