Information on Result #988570
Linear OOA(4930, 1921603, F49, 3, 8) (dual of [(1921603, 3), 5764779, 9]-NRT-code), using OOA 3-folding based on linear OA(4930, 5764809, F49, 8) (dual of [5764809, 5764779, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(4930, 5764810, F49, 8) (dual of [5764810, 5764780, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [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(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(491, 9, F49, 1) (dual of [9, 8, 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
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
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(760, 3843206, F7, 3, 8) (dual of [(3843206, 3), 11529558, 9]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4934, 1921653, F49, 3, 8) (dual of [(1921653, 3), 5764925, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4943, 3843206, F49, 3, 8) (dual of [(3843206, 3), 11529575, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(4948, 5764809, F49, 3, 8) (dual of [(5764809, 3), 17294379, 9]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |