Information on Result #710947
Linear OA(549, 624, F5, 16) (dual of [624, 575, 17]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,156}, and designed minimum distance d ≥ |I|+1 = 17
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(549, 368, F5, 2, 16) (dual of [(368, 2), 687, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(549, 368, F5, 3, 16) (dual of [(368, 3), 1055, 17]-NRT-code) | [i] | ||
| 3 | Digital (33, 49, 368)-net over F5 | [i] | ||
| 4 | Linear OA(564, 659, F5, 17) (dual of [659, 595, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 5 | Linear OA(563, 656, F5, 17) (dual of [656, 593, 18]-code) | [i] | ✔ | |
| 6 | Linear OA(562, 653, F5, 17) (dual of [653, 591, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(569, 664, F5, 18) (dual of [664, 595, 19]-code) | [i] | ✔ | |
| 8 | Linear OA(568, 661, F5, 18) (dual of [661, 593, 19]-code) | [i] | ✔ | |
| 9 | Linear OA(567, 658, F5, 18) (dual of [658, 591, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(557, 644, F5, 17) (dual of [644, 587, 18]-code) | [i] | ✔ | |
| 11 | Linear OA(556, 639, F5, 17) (dual of [639, 583, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(555, 634, F5, 17) (dual of [634, 579, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(554, 633, F5, 17) (dual of [633, 579, 18]-code) | [i] | ✔ | |
| 14 | Linear OOA(549, 312, F5, 2, 16) (dual of [(312, 2), 575, 17]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(549, 208, F5, 3, 16) (dual of [(208, 3), 575, 17]-NRT-code) | [i] | ||