Information on Result #873205
Linear OOA(4929, 2882402, F49, 2, 8) (dual of [(2882402, 2), 5764775, 9]-NRT-code), using OOA 2-folding based on linear OA(4929, 5764804, F49, 8) (dual of [5764804, 5764775, 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
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(758, 5764804, F7, 2, 8) (dual of [(5764804, 2), 11529550, 9]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4933, 2882452, F49, 2, 8) (dual of [(2882452, 2), 5764871, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4934, 2882453, F49, 2, 8) (dual of [(2882453, 2), 5764872, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(4942, 5764804, F49, 2, 8) (dual of [(5764804, 2), 11529566, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(4953, large, F49, 2, 8) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(4952, large, F49, 2, 8) | [i] | ||
| 7 | Linear OOA(4951, large, F49, 2, 8) | [i] | ||
| 8 | Linear OOA(4947, 5764954, F49, 2, 8) (dual of [(5764954, 2), 11529861, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(4948, 5767355, F49, 2, 8) (dual of [(5767355, 2), 11534662, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(4950, large, F49, 2, 8) | [i] | ||
| 11 | Linear OOA(4946, 5764904, F49, 2, 8) (dual of [(5764904, 2), 11529762, 9]-NRT-code) | [i] | ||
| 12 | Linear OOA(4947, 5767305, F49, 2, 8) (dual of [(5767305, 2), 11534563, 9]-NRT-code) | [i] | ||
| 13 | Linear OOA(4948, 5769706, F49, 2, 8) (dual of [(5769706, 2), 11539364, 9]-NRT-code) | [i] | ||
| 14 | Linear OOA(4948, 5884954, F49, 2, 8) (dual of [(5884954, 2), 11769860, 9]-NRT-code) | [i] | ||
| 15 | Linear OOA(4949, large, F49, 2, 8) | [i] | ||
| 16 | Linear OOA(4944, 5764854, F49, 2, 8) (dual of [(5764854, 2), 11529664, 9]-NRT-code) | [i] | ||
| 17 | Linear OOA(4945, 5767255, F49, 2, 8) (dual of [(5767255, 2), 11534465, 9]-NRT-code) | [i] | ||
| 18 | Linear OOA(4946, 5884904, F49, 2, 8) (dual of [(5884904, 2), 11769762, 9]-NRT-code) | [i] | ||
| 19 | Linear OOA(4947, large, F49, 2, 8) | [i] | ||