Information on Result #613952
Linear OA(5145, 15626, F5, 31) (dual of [15626, 15481, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 15626 | 512−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound)
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(5144, 15625, F5, 30) (dual of [15625, 15481, 31]-code) | [i] | Truncation | |
| 2 | Linear OA(5146, 15639, F5, 29) (dual of [15639, 15493, 30]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(5148, 15632, F5, 31) (dual of [15632, 15484, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(5149, 15642, F5, 31) (dual of [15642, 15493, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(5147, 15632, F5, 30) (dual of [15632, 15485, 31]-code) | [i] | ✔ | |
| 6 | Linear OA(5149, 15652, F5, 29) (dual of [15652, 15503, 30]-code) | [i] | ✔ | |
| 7 | Linear OA(5150, 15655, F5, 29) (dual of [15655, 15505, 30]-code) | [i] | ✔ | |
| 8 | Linear OA(5148, 15653, F5, 28) (dual of [15653, 15505, 29]-code) | [i] | ✔ | |
| 9 | Linear OOA(5145, 7813, F5, 2, 31) (dual of [(7813, 2), 15481, 32]-NRT-code) | [i] | OOA Folding | |