Information on Result #711854
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 = {−7,−6,…,30}, 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(5143, 688, F5, 38) (dual of [688, 545, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(5139, 680, F5, 38) (dual of [680, 541, 39]-code) | [i] | ✔ | |
3 | Linear OA(5137, 676, F5, 38) (dual of [676, 539, 39]-code) | [i] | ✔ | |
4 | Linear OA(5136, 672, F5, 38) (dual of [672, 536, 39]-code) | [i] | ✔ | |
5 | Linear OA(5135, 670, F5, 38) (dual of [670, 535, 39]-code) | [i] | ✔ | |
6 | Linear OA(5134, 665, F5, 38) (dual of [665, 531, 39]-code) | [i] | ✔ | |
7 | Linear OA(5141, 687, F5, 38) (dual of [687, 546, 39]-code) | [i] | ✔ | |
8 | Linear OA(5137, 679, F5, 38) (dual of [679, 542, 39]-code) | [i] | ✔ | |
9 | Linear OA(5136, 675, F5, 38) (dual of [675, 539, 39]-code) | [i] | ✔ | |
10 | Linear OA(5135, 672, F5, 38) (dual of [672, 537, 39]-code) | [i] | ✔ | |
11 | Linear OA(5135, 675, F5, 38) (dual of [675, 540, 39]-code) | [i] | ✔ | |
12 | Linear OA(5134, 671, F5, 38) (dual of [671, 537, 39]-code) | [i] | ✔ | |
13 | Linear OA(5133, 668, F5, 38) (dual of [668, 535, 39]-code) | [i] | ✔ | |
14 | Linear OA(5132, 664, F5, 38) (dual of [664, 532, 39]-code) | [i] | ✔ | |
15 | Linear OA(5135, 663, F5, 39) (dual of [663, 528, 40]-code) | [i] | ✔ | |
16 | Linear OA(5133, 656, F5, 39) (dual of [656, 523, 40]-code) | [i] | ✔ | |
17 | Linear OA(5142, 669, F5, 40) (dual of [669, 527, 41]-code) | [i] | ✔ | |
18 | Linear OA(5140, 663, F5, 40) (dual of [663, 523, 41]-code) | [i] | ✔ | |
19 | Linear OA(5140, 668, F5, 40) (dual of [668, 528, 41]-code) | [i] | ✔ | |
20 | Linear OA(5139, 664, F5, 40) (dual of [664, 525, 41]-code) | [i] | ✔ | |
21 | Linear OA(5138, 661, F5, 40) (dual of [661, 523, 41]-code) | [i] | ✔ |