Information on Result #711688
Linear OA(5107, 624, F5, 34) (dual of [624, 517, 35]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {−6,−5,…,27}, and designed minimum distance d ≥ |I|+1 = 35
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 Expurgated Narrow-Sense BCH-Codes [i]
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
Result | This result only | Method | ||
---|---|---|---|---|
1 | Linear OA(5119, 662, F5, 34) (dual of [662, 543, 35]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
2 | Linear OA(5117, 656, F5, 34) (dual of [656, 539, 35]-code) | [i] | ✔ | |
3 | Linear OA(5116, 653, F5, 34) (dual of [653, 537, 35]-code) | [i] | ✔ | |
4 | Linear OA(5122, 672, F5, 34) (dual of [672, 550, 35]-code) | [i] | ✔ | |
5 | Linear OA(5117, 659, F5, 34) (dual of [659, 542, 35]-code) | [i] | ✔ | |
6 | Linear OA(5116, 655, F5, 34) (dual of [655, 539, 35]-code) | [i] | ✔ | |
7 | Linear OA(5115, 652, F5, 34) (dual of [652, 537, 35]-code) | [i] | ✔ | |
8 | Linear OA(5116, 656, F5, 34) (dual of [656, 540, 35]-code) | [i] | ✔ | |
9 | Linear OA(5114, 649, F5, 34) (dual of [649, 535, 35]-code) | [i] | ✔ | |
10 | Linear OA(5127, 660, F5, 37) (dual of [660, 533, 38]-code) | [i] | ✔ | |
11 | Linear OA(5132, 665, F5, 38) (dual of [665, 533, 39]-code) | [i] | ✔ | |
12 | Linear OA(5133, 670, F5, 38) (dual of [670, 537, 39]-code) | [i] | ✔ | |
13 | Linear OA(5132, 668, F5, 38) (dual of [668, 536, 39]-code) | [i] | ✔ | |
14 | Linear OA(5140, 677, F5, 39) (dual of [677, 537, 40]-code) | [i] | ✔ | |
15 | Linear OA(5147, 684, F5, 40) (dual of [684, 537, 41]-code) | [i] | ✔ |