Information on Result #712034
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 = {−5,−4,…,32}, 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(5129, 659, F5, 38) (dual of [659, 530, 39]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(5128, 657, F5, 38) (dual of [657, 529, 39]-code) | [i] | ✔ | |
3 | Linear OA(5127, 654, F5, 38) (dual of [654, 527, 39]-code) | [i] | ✔ | |
4 | Linear OA(5130, 663, F5, 38) (dual of [663, 533, 39]-code) | [i] | ✔ | |
5 | Linear OA(5129, 660, F5, 38) (dual of [660, 531, 39]-code) | [i] | ✔ | |
6 | Linear OA(5127, 656, F5, 38) (dual of [656, 529, 39]-code) | [i] | ✔ | |
7 | Linear OA(5126, 653, F5, 38) (dual of [653, 527, 39]-code) | [i] | ✔ | |
8 | Linear OA(5125, 648, F5, 38) (dual of [648, 523, 39]-code) | [i] | ✔ | |
9 | Linear OA(5129, 648, F5, 39) (dual of [648, 519, 40]-code) | [i] | ✔ | |
10 | Linear OA(5137, 656, F5, 41) (dual of [656, 519, 42]-code) | [i] | ✔ | |
11 | Linear OA(5134, 655, F5, 40) (dual of [655, 521, 41]-code) | [i] | ✔ | |
12 | Linear OA(5136, 655, F5, 41) (dual of [655, 519, 42]-code) | [i] | ✔ | |
13 | Linear OA(5142, 663, F5, 42) (dual of [663, 521, 43]-code) | [i] | ✔ | |
14 | Linear OA(5141, 660, F5, 42) (dual of [660, 519, 43]-code) | [i] | ✔ |