Information on Result #712102
Linear OA(5127, 624, F5, 40) (dual of [624, 497, 41]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,33}, and designed minimum distance d ≥ |I|+1 = 41
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]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(5142, 672, F5, 40) (dual of [672, 530, 41]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(5141, 670, F5, 40) (dual of [670, 529, 41]-code) | [i] | ✔ | |
3 | Linear OA(5137, 658, F5, 40) (dual of [658, 521, 41]-code) | [i] | ✔ | |
4 | Linear OA(5147, 684, F5, 40) (dual of [684, 537, 41]-code) | [i] | ✔ | |
5 | Linear OA(5144, 677, F5, 40) (dual of [677, 533, 41]-code) | [i] | ✔ | |
6 | Linear OA(5140, 669, F5, 40) (dual of [669, 529, 41]-code) | [i] | ✔ | |
7 | Linear OA(5139, 667, F5, 40) (dual of [667, 528, 41]-code) | [i] | ✔ | |
8 | Linear OA(5138, 663, F5, 40) (dual of [663, 525, 41]-code) | [i] | ✔ | |
9 | Linear OA(5137, 660, F5, 40) (dual of [660, 523, 41]-code) | [i] | ✔ | |
10 | Linear OA(5137, 661, F5, 40) (dual of [661, 524, 41]-code) | [i] | ✔ | |
11 | Linear OA(5136, 657, F5, 40) (dual of [657, 521, 41]-code) | [i] | ✔ | |
12 | Linear OA(5135, 654, F5, 40) (dual of [654, 519, 41]-code) | [i] | ✔ | |
13 | Linear OA(5142, 657, F5, 42) (dual of [657, 515, 43]-code) | [i] | ✔ | |
14 | Linear OA(5141, 657, F5, 42) (dual of [657, 516, 43]-code) | [i] | ✔ |