Information on Result #698035
Linear OA(4929, 5764805, F49, 8) (dual of [5764805, 5764776, 9]-code), using construction X applied to Ce(7) ⊂ Ce(6) based on
- 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(4925, 5764801, F49, 7) (dual of [5764801, 5764776, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(4933, 5764855, F49, 8) (dual of [5764855, 5764822, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4934, 5764858, F49, 8) (dual of [5764858, 5764824, 9]-code) | [i] | ||
| 3 | Linear OA(4935, 5767157, F49, 8) (dual of [5767157, 5767122, 9]-code) | [i] | ||
| 4 | Linear OOA(4929, 2882402, F49, 2, 8) (dual of [(2882402, 2), 5764775, 9]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4929, 1921601, F49, 3, 8) (dual of [(1921601, 3), 5764774, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(4929, 1441201, F49, 8, 8) (dual of [(1441201, 8), 11529579, 9]-NRT-code) | [i] | OA Folding and Stacking | |