Information on Result #710887
Linear OA(545, 624, F5, 14) (dual of [624, 579, 15]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−5,−4,…,8}, and designed minimum distance d ≥ |I|+1 = 15
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]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(545, 476, F5, 2, 14) (dual of [(476, 2), 907, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(545, 476, F5, 3, 14) (dual of [(476, 3), 1383, 15]-NRT-code) | [i] | ||
| 3 | Digital (31, 45, 476)-net over F5 | [i] | ||
| 4 | Linear OA(553, 656, F5, 14) (dual of [656, 603, 15]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(552, 653, F5, 14) (dual of [653, 601, 15]-code) | [i] | ✔ | |
| 6 | Linear OA(551, 648, F5, 14) (dual of [648, 597, 15]-code) | [i] | ✔ | |
| 7 | Linear OA(558, 653, F5, 16) (dual of [653, 595, 17]-code) | [i] | ✔ | |
| 8 | Linear OA(557, 650, F5, 16) (dual of [650, 593, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(557, 652, F5, 16) (dual of [652, 595, 17]-code) | [i] | ✔ | |
| 10 | Linear OA(554, 649, F5, 15) (dual of [649, 595, 16]-code) | [i] | ✔ | |
| 11 | Linear OA(556, 649, F5, 16) (dual of [649, 593, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(562, 655, F5, 17) (dual of [655, 593, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(568, 663, F5, 18) (dual of [663, 595, 19]-code) | [i] | ✔ | |
| 14 | Linear OA(567, 660, F5, 18) (dual of [660, 593, 19]-code) | [i] | ✔ | |