Information on Result #702308
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 = {−2,−1,…,28}, 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(2141, 535, F2, 31) (dual of [535, 394, 32]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2138, 532, F2, 30) (dual of [532, 394, 31]-code) | [i] | ✔ | |
| 3 | Linear OA(2138, 531, F2, 31) (dual of [531, 393, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(2150, 535, F2, 33) (dual of [535, 385, 34]-code) | [i] | ✔ | |
| 5 | Linear OA(2147, 532, F2, 32) (dual of [532, 385, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(2147, 531, F2, 33) (dual of [531, 384, 34]-code) | [i] | ✔ | |
| 7 | Linear OOA(2136, 170, F2, 3, 31) (dual of [(170, 3), 374, 32]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2136, 102, F2, 5, 31) (dual of [(102, 5), 374, 32]-NRT-code) | [i] | ||