Information on Result #693460
Linear OA(2516, 15628, F25, 6) (dual of [15628, 15612, 7]-code), using construction X applied to Ce(5) ⊂ Ce(4) based on
- linear OA(2516, 15625, F25, 6) (dual of [15625, 15609, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(2513, 15625, F25, 5) (dual of [15625, 15612, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(250, 3, F25, 0) (dual of [3, 3, 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(2519, 15654, F25, 6) (dual of [15654, 15635, 7]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(2520, 16254, F25, 6) (dual of [16254, 16234, 7]-code) | [i] | ||
| 3 | Linear OOA(2516, 15628, F25, 2, 6) (dual of [(15628, 2), 31240, 7]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Digital (10, 16, 15628)-net over F25 | [i] | ||
| 5 | Linear OOA(2516, 7814, F25, 2, 6) (dual of [(7814, 2), 15612, 7]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2516, 5209, F25, 6, 6) (dual of [(5209, 6), 31238, 7]-NRT-code) | [i] | OA Folding and Stacking | |