Information on Result #613846
Linear OA(5127, 78126, F5, 23) (dual of [78126, 77999, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (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(5140, 78142, F5, 23) (dual of [78142, 78002, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(5141, 78144, F5, 23) (dual of [78144, 78003, 24]-code) | [i] | ||
| 3 | Linear OA(5142, 78156, F5, 23) (dual of [78156, 78014, 24]-code) | [i] | ||
| 4 | Linear OA(5138, 78138, F5, 23) (dual of [78138, 78000, 24]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(5142, 78141, F5, 25) (dual of [78141, 77999, 26]-code) | [i] | ✔ | |
| 6 | Linear OA(5128, 78141, F5, 23) (dual of [78141, 78013, 24]-code) | [i] | ✔ | |
| 7 | Linear OA(5135, 78150, F5, 23) (dual of [78150, 78015, 24]-code) | [i] | ✔ | |
| 8 | Linear OA(5136, 78153, F5, 23) (dual of [78153, 78017, 24]-code) | [i] | ✔ | |
| 9 | Linear OA(5137, 78164, F5, 23) (dual of [78164, 78027, 24]-code) | [i] | ✔ | |
| 10 | Linear OA(5134, 78152, F5, 22) (dual of [78152, 78018, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(5135, 78162, F5, 22) (dual of [78162, 78027, 23]-code) | [i] | ✔ | |
| 12 | Linear OA(5141, 78178, F5, 23) (dual of [78178, 78037, 24]-code) | [i] | ✔ | |
| 13 | Linear OA(5142, 78183, F5, 23) (dual of [78183, 78041, 24]-code) | [i] | ✔ | |
| 14 | Linear OA(5136, 78163, F5, 23) (dual of [78163, 78027, 24]-code) | [i] | ✔ | |