Information on Result #988541
Linear OOA(4925, 1921601, F49, 3, 7) (dual of [(1921601, 3), 5764778, 8]-NRT-code), using OOA 3-folding based on linear OA(4925, 5764803, F49, 7) (dual of [5764803, 5764778, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(4925, 5764805, F49, 7) (dual of [5764805, 5764780, 8]-code), using
- construction X applied to Ce(6) ⊂ Ce(5) [i] based on
- 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(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(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(6) ⊂ 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(750, 3843202, F7, 3, 7) (dual of [(3843202, 3), 11529556, 8]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(4928, 1921651, F49, 3, 7) (dual of [(1921651, 3), 5764925, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(4929, 1924003, F49, 3, 7) (dual of [(1924003, 3), 5771980, 8]-NRT-code) | [i] | ||
| 4 | Linear OOA(4930, 1927551, F49, 3, 7) (dual of [(1927551, 3), 5782623, 8]-NRT-code) | [i] | ||
| 5 | Linear OOA(4932, 3843202, F49, 3, 7) (dual of [(3843202, 3), 11529574, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(4939, 7686501, F49, 3, 7) (dual of [(7686501, 3), 23059464, 8]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(4940, 7691201, F49, 3, 7) (dual of [(7691201, 3), 23073563, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(4940, large, F49, 3, 7) | [i] | ||
| 9 | Linear OOA(4939, large, F49, 3, 7) | [i] | ||
| 10 | Linear OOA(4936, 3848104, F49, 3, 7) (dual of [(3848104, 3), 11544276, 8]-NRT-code) | [i] | ||
| 11 | Linear OOA(4938, 7686404, F49, 3, 7) (dual of [(7686404, 3), 23059174, 8]-NRT-code) | [i] | ||
| 12 | Linear OOA(4934, 3843252, F49, 3, 7) (dual of [(3843252, 3), 11529722, 8]-NRT-code) | [i] | ||
| 13 | Linear OOA(4935, 3845653, F49, 3, 7) (dual of [(3845653, 3), 11536924, 8]-NRT-code) | [i] | ||
| 14 | Linear OOA(4936, 3963302, F49, 3, 7) (dual of [(3963302, 3), 11889870, 8]-NRT-code) | [i] | ||
| 15 | Linear OOA(4937, 5764803, F49, 3, 7) (dual of [(5764803, 3), 17294372, 8]-NRT-code) | [i] | ||