Information on Result #710972
Linear OA(553, 624, F5, 17) (dual of [624, 571, 18]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−1,0,…,15}, and designed minimum distance d ≥ |I|+1 = 18
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 OOA(553, 416, F5, 2, 17) (dual of [(416, 2), 779, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(553, 416, F5, 3, 17) (dual of [(416, 3), 1195, 18]-NRT-code) | [i] | ||
| 3 | Digital (36, 53, 416)-net over F5 | [i] | ||
| 4 | Linear OA(572, 659, F5, 19) (dual of [659, 587, 20]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(555, 635, F5, 17) (dual of [635, 580, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(557, 632, F5, 18) (dual of [632, 575, 19]-code) | [i] | ✔ | |
| 7 | Linear OA(563, 639, F5, 19) (dual of [639, 576, 20]-code) | [i] | ✔ | |