Information on Result #711752
Linear OA(5111, 624, F5, 35) (dual of [624, 513, 36]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,28}, and designed minimum distance d ≥ |I|+1 = 36
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(5126, 670, F5, 35) (dual of [670, 544, 36]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(5125, 668, F5, 35) (dual of [668, 543, 36]-code) | [i] | ✔ | |
3 | Linear OA(5123, 664, F5, 35) (dual of [664, 541, 36]-code) | [i] | ✔ | |
4 | Linear OA(5122, 661, F5, 35) (dual of [661, 539, 36]-code) | [i] | ✔ | |
5 | Linear OA(5121, 658, F5, 35) (dual of [658, 537, 36]-code) | [i] | ✔ | |
6 | Linear OA(5126, 672, F5, 35) (dual of [672, 546, 36]-code) | [i] | ✔ | |
7 | Linear OA(5123, 665, F5, 35) (dual of [665, 542, 36]-code) | [i] | ✔ | |
8 | Linear OA(5122, 663, F5, 35) (dual of [663, 541, 36]-code) | [i] | ✔ | |
9 | Linear OA(5121, 661, F5, 35) (dual of [661, 540, 36]-code) | [i] | ✔ | |
10 | Linear OA(5120, 657, F5, 35) (dual of [657, 537, 36]-code) | [i] | ✔ | |
11 | Linear OA(5119, 654, F5, 35) (dual of [654, 535, 36]-code) | [i] | ✔ | |
12 | Linear OA(5126, 657, F5, 37) (dual of [657, 531, 38]-code) | [i] | ✔ | |
13 | Linear OA(5125, 657, F5, 37) (dual of [657, 532, 38]-code) | [i] | ✔ | |
14 | Linear OA(5136, 668, F5, 39) (dual of [668, 532, 40]-code) | [i] | ✔ | |
15 | Linear OA(5144, 677, F5, 40) (dual of [677, 533, 41]-code) | [i] | ✔ |