Information on Result #711816
Linear OA(5115, 624, F5, 37) (dual of [624, 509, 38]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {130,131,…,166}, and designed minimum distance d ≥ |I|+1 = 38
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive Expurgated Narrow-Sense BCH-Codes [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(5138, 687, F5, 37) (dual of [687, 549, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5137, 683, F5, 37) (dual of [683, 546, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(5136, 681, F5, 37) (dual of [681, 545, 38]-code) | [i] | ✔ | |
| 4 | Linear OA(5135, 680, F5, 37) (dual of [680, 545, 38]-code) | [i] | ✔ | |
| 5 | Linear OA(5135, 682, F5, 37) (dual of [682, 547, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(5134, 679, F5, 37) (dual of [679, 545, 38]-code) | [i] | ✔ | |
| 7 | Linear OA(5145, 676, F5, 41) (dual of [676, 531, 42]-code) | [i] | ✔ | |
| 8 | Linear OA(5144, 672, F5, 41) (dual of [672, 528, 42]-code) | [i] | ✔ | |
| 9 | Linear OA(5143, 670, F5, 41) (dual of [670, 527, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(5150, 677, F5, 42) (dual of [677, 527, 43]-code) | [i] | ✔ | |
| 11 | Linear OA(5142, 671, F5, 41) (dual of [671, 529, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(5141, 668, F5, 41) (dual of [668, 527, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(5140, 665, F5, 41) (dual of [665, 525, 42]-code) | [i] | ✔ | |