Information on Result #698038
Linear OA(4921, 5764805, F49, 6) (dual of [5764805, 5764784, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- 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(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(4924, 5764855, F49, 6) (dual of [5764855, 5764831, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4925, 5767207, F49, 6) (dual of [5767207, 5767182, 7]-code) | [i] | ||
| 3 | Linear OOA(4921, 5764805, F49, 2, 6) (dual of [(5764805, 2), 11529589, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(4921, 5764805, F49, 3, 6) (dual of [(5764805, 3), 17294394, 7]-NRT-code) | [i] | ||
| 5 | Digital (15, 21, 5764805)-net over F49 | [i] | ||
| 6 | Linear OOA(4921, 2882402, F49, 2, 6) (dual of [(2882402, 2), 5764783, 7]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4921, 1921601, F49, 3, 6) (dual of [(1921601, 3), 5764782, 7]-NRT-code) | [i] | ||
| 8 | Linear OOA(4921, 1921601, F49, 6, 6) (dual of [(1921601, 6), 11529585, 7]-NRT-code) | [i] | OA Folding and Stacking | |