Information on Result #693158
Linear OA(2517, 390629, F25, 5) (dual of [390629, 390612, 6]-code), using construction X applied to Ce(4) ⊂ Ce(3) based on
- linear OA(2517, 390625, F25, 5) (dual of [390625, 390608, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(2513, 390625, F25, 4) (dual of [390625, 390612, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 390624 = 254−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(250, 4, F25, 0) (dual of [4, 4, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(250, s, F25, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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 OA(534, 781258, F5, 5) (dual of [781258, 781224, 6]-code) | [i] | Trace Code | |
| 2 | Linear OA(2519, 390655, F25, 5) (dual of [390655, 390636, 6]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(2520, 391280, F25, 5) (dual of [391280, 391260, 6]-code) | [i] | ||
| 4 | Linear OOA(2517, 390629, F25, 2, 5) (dual of [(390629, 2), 781241, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (12, 17, 390629)-net over F25 | [i] | ||
| 6 | Linear OOA(2517, 195314, F25, 2, 5) (dual of [(195314, 2), 390611, 6]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(2517, 195314, F25, 5, 5) (dual of [(195314, 5), 976553, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |