Information on Result #711959
Linear OA(5119, 624, F5, 38) (dual of [624, 505, 39]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,31}, and designed minimum distance d ≥ |I|+1 = 39
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 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(5140, 684, F5, 38) (dual of [684, 544, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(5139, 682, F5, 38) (dual of [682, 543, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(5132, 665, F5, 38) (dual of [665, 533, 39]-code) | [i] | ✔ | |
| 4 | Linear OA(5129, 656, F5, 38) (dual of [656, 527, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(5128, 653, F5, 38) (dual of [653, 525, 39]-code) | [i] | ✔ | |
| 6 | Linear OA(5136, 677, F5, 38) (dual of [677, 541, 39]-code) | [i] | ✔ | |
| 7 | Linear OA(5133, 670, F5, 38) (dual of [670, 537, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(5132, 668, F5, 38) (dual of [668, 536, 39]-code) | [i] | ✔ | |
| 9 | Linear OA(5128, 656, F5, 38) (dual of [656, 528, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(5127, 652, F5, 38) (dual of [652, 525, 39]-code) | [i] | ✔ | |
| 11 | Linear OA(5126, 649, F5, 38) (dual of [649, 523, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(5132, 653, F5, 39) (dual of [653, 521, 40]-code) | [i] | ✔ | |
| 13 | Linear OA(5130, 649, F5, 39) (dual of [649, 519, 40]-code) | [i] | ✔ | |
| 14 | Linear OA(5137, 658, F5, 40) (dual of [658, 521, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(5137, 661, F5, 40) (dual of [661, 524, 41]-code) | [i] | ✔ | |
| 16 | Linear OA(5136, 657, F5, 40) (dual of [657, 521, 41]-code) | [i] | ✔ | |
| 17 | Linear OA(5135, 654, F5, 40) (dual of [654, 519, 41]-code) | [i] | ✔ | |
| 18 | Linear OA(5147, 673, F5, 42) (dual of [673, 526, 43]-code) | [i] | ✔ | |
| 19 | Linear OA(5146, 671, F5, 42) (dual of [671, 525, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(5145, 668, F5, 42) (dual of [668, 523, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(5144, 665, F5, 42) (dual of [665, 521, 43]-code) | [i] | ✔ | |
| 22 | Linear OA(5145, 670, F5, 42) (dual of [670, 525, 43]-code) | [i] | ✔ | |
| 23 | Linear OA(5144, 668, F5, 42) (dual of [668, 524, 43]-code) | [i] | ✔ | |
| 24 | Linear OA(5143, 664, F5, 42) (dual of [664, 521, 43]-code) | [i] | ✔ | |
| 25 | Linear OA(5142, 661, F5, 42) (dual of [661, 519, 43]-code) | [i] | ✔ | |