Information on Result #712151
Linear OA(5131, 624, F5, 42) (dual of [624, 493, 43]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {116,117,…,157}, and designed minimum distance d ≥ |I|+1 = 43
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(5146, 666, F5, 42) (dual of [666, 520, 43]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(5145, 664, F5, 42) (dual of [664, 519, 43]-code) | [i] | ✔ | |
3 | Linear OA(5143, 661, F5, 42) (dual of [661, 518, 43]-code) | [i] | ✔ | |
4 | Linear OA(5142, 658, F5, 42) (dual of [658, 516, 43]-code) | [i] | ✔ | |
5 | Linear OA(5142, 659, F5, 42) (dual of [659, 517, 43]-code) | [i] | ✔ | |
6 | Linear OA(5141, 656, F5, 42) (dual of [656, 515, 43]-code) | [i] | ✔ | |
7 | Linear OA(5140, 653, F5, 42) (dual of [653, 513, 43]-code) | [i] | ✔ | |
8 | Linear OA(5139, 653, F5, 42) (dual of [653, 514, 43]-code) | [i] | ✔ | |
9 | Linear OA(5136, 646, F5, 42) (dual of [646, 510, 43]-code) | [i] | ✔ | |
10 | Linear OA(5135, 644, F5, 42) (dual of [644, 509, 43]-code) | [i] | ✔ | |
11 | Linear OA(5134, 639, F5, 42) (dual of [639, 505, 43]-code) | [i] | ✔ | |
12 | Linear OA(5133, 634, F5, 42) (dual of [634, 501, 43]-code) | [i] | ✔ | |
13 | Linear OA(5132, 633, F5, 42) (dual of [633, 501, 43]-code) | [i] | ✔ | |
14 | Linear OA(5150, 651, F5, 46) (dual of [651, 501, 47]-code) | [i] | ✔ | |
15 | Linear OA(5148, 645, F5, 46) (dual of [645, 497, 47]-code) | [i] | ✔ |