Information on Result #682598
Linear OA(5125, 15652, F5, 25) (dual of [15652, 15527, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
- linear OA(5121, 15626, F5, 25) (dual of [15626, 15505, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(597, 15626, F5, 21) (dual of [15626, 15529, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(54, 26, F5, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,5)), 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(5125, 13812, F5, 2, 25) (dual of [(13812, 2), 27499, 26]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5125, 13812, F5, 3, 25) (dual of [(13812, 3), 41311, 26]-NRT-code) | [i] | ||
| 3 | Digital (100, 125, 13812)-net over F5 | [i] | ||
| 4 | Linear OOA(5125, 7826, F5, 2, 25) (dual of [(7826, 2), 15527, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(5125, 5217, F5, 3, 25) (dual of [(5217, 3), 15526, 26]-NRT-code) | [i] | ||
| 6 | Linear OOA(5125, 1304, F5, 25, 25) (dual of [(1304, 25), 32475, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |