Information on Result #711846
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 = {126,127,…,162}, 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(5139, 690, F5, 37) (dual of [690, 551, 38]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5141, 666, F5, 41) (dual of [666, 525, 42]-code) | [i] | ✔ | |
| 3 | Linear OA(5137, 662, F5, 40) (dual of [662, 525, 41]-code) | [i] | ✔ | |
| 4 | Linear OA(5136, 659, F5, 40) (dual of [659, 523, 41]-code) | [i] | ✔ | |
| 5 | Linear OA(5150, 672, F5, 43) (dual of [672, 522, 44]-code) | [i] | ✔ | |