Information on Result #1017205
Linear OOA(4933, 1921651, F49, 3, 8) (dual of [(1921651, 3), 5764920, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(494, 50, F49, 3, 4) (dual of [(50, 3), 146, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;146,49) [i]
- linear OOA(4929, 1921601, F49, 3, 8) (dual of [(1921601, 3), 5764774, 9]-NRT-code), using
- OOA 3-folding [i] based on linear OA(4929, 5764803, F49, 8) (dual of [5764803, 5764774, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(4929, 5764805, F49, 8) (dual of [5764805, 5764776, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(6) [i] 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
- construction X applied to Ce(7) ⊂ Ce(6) [i] based on
- discarding factors / shortening the dual code based on linear OA(4929, 5764805, F49, 8) (dual of [5764805, 5764776, 9]-code), using
- OOA 3-folding [i] based on linear OA(4929, 5764803, F49, 8) (dual of [5764803, 5764774, 9]-code), 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(4946, 3843302, F49, 3, 8) (dual of [(3843302, 3), 11529860, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |