Information on Result #988601
Linear OOA(4933, 1921601, F49, 3, 9) (dual of [(1921601, 3), 5764770, 10]-NRT-code), using OOA 3-folding based on linear OA(4933, 5764803, F49, 9) (dual of [5764803, 5764770, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(4933, 5764805, F49, 9) (dual of [5764805, 5764772, 10]-code), using
- construction X applied to Ce(8) ⊂ Ce(7) [i] based on
- linear OA(4933, 5764801, F49, 9) (dual of [5764801, 5764768, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- 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(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(8) ⊂ Ce(7) [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(766, 3843202, F7, 3, 9) (dual of [(3843202, 3), 11529540, 10]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4937, 1921651, F49, 3, 9) (dual of [(1921651, 3), 5764916, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4938, 1921652, F49, 3, 9) (dual of [(1921652, 3), 5764918, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(4939, 1922777, F49, 3, 9) (dual of [(1922777, 3), 5768292, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(4940, 1922802, F49, 3, 9) (dual of [(1922802, 3), 5768366, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(4946, 3843202, F49, 3, 9) (dual of [(3843202, 3), 11529560, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(4952, 3845654, F49, 3, 9) (dual of [(3845654, 3), 11536910, 10]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 8 | Linear OOA(4955, 5764853, F49, 3, 9) (dual of [(5764853, 3), 17294504, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(4949, 3843252, F49, 3, 9) (dual of [(3843252, 3), 11529707, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(4950, 3845604, F49, 3, 9) (dual of [(3845604, 3), 11536762, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(4951, 3849152, F49, 3, 9) (dual of [(3849152, 3), 11547405, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(4952, 3963402, F49, 3, 9) (dual of [(3963402, 3), 11890154, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(4953, 5764803, F49, 3, 9) (dual of [(5764803, 3), 17294356, 10]-NRT-code) | [i] | ||