Information on Result #665786
Linear OA(2511, 1803, F25, 5) (dual of [1803, 1792, 6]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(251, 601, F25, 1) (dual of [601, 600, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(251, s, F25, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(253, 601, F25, 2) (dual of [601, 598, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(253, 624, F25, 2) (dual of [624, 621, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(253, 624, F25, 2) (dual of [624, 621, 3]-code), using
- linear OA(257, 601, F25, 5) (dual of [601, 594, 6]-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(2511, 1803, F25, 2, 5) (dual of [(1803, 2), 3595, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (6, 11, 1803)-net over F25 | [i] | ||
| 3 | Linear OOA(2511, 901, F25, 2, 5) (dual of [(901, 2), 1791, 6]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(2511, 901, F25, 5, 5) (dual of [(901, 5), 4494, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |