Information on Result #702288
Linear OA(2136, 511, F2, 31) (dual of [511, 375, 32]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−4,−3,…,26}, and designed minimum distance d ≥ |I|+1 = 32
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 Expurgated Narrow-Sense BCH-Codes [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(2148, 560, F2, 30) (dual of [560, 412, 31]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2147, 550, F2, 31) (dual of [550, 403, 32]-code) | [i] | ✔ | |
| 3 | Linear OA(2143, 546, F2, 30) (dual of [546, 403, 31]-code) | [i] | ✔ | |
| 4 | Linear OA(2148, 559, F2, 31) (dual of [559, 411, 32]-code) | [i] | ✔ | |
| 5 | Linear OA(2147, 551, F2, 31) (dual of [551, 404, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(2143, 545, F2, 31) (dual of [545, 402, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(2142, 537, F2, 31) (dual of [537, 395, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(2156, 550, F2, 33) (dual of [550, 394, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(2152, 546, F2, 32) (dual of [546, 394, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(2152, 545, F2, 33) (dual of [545, 393, 34]-code) | [i] | ✔ | |
| 11 | Linear OOA(2136, 170, F2, 3, 31) (dual of [(170, 3), 374, 32]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2136, 102, F2, 5, 31) (dual of [(102, 5), 374, 32]-NRT-code) | [i] | ||