Information on Result #702253
Linear OA(2118, 511, F2, 27) (dual of [511, 393, 28]-code), using the primitive BCH-code C(I) with length 511 = 29−1, defining interval I = {−6,−5,…,20}, and designed minimum distance d ≥ |I|+1 = 28
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 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(2130, 554, F2, 27) (dual of [554, 424, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(2139, 554, F2, 28) (dual of [554, 415, 29]-code) | [i] | ✔ | |
| 3 | Linear OA(2139, 557, F2, 28) (dual of [557, 418, 29]-code) | [i] | ✔ | |
| 4 | Linear OA(2139, 554, F2, 29) (dual of [554, 415, 30]-code) | [i] | ✔ | |
| 5 | Linear OOA(2118, 170, F2, 3, 27) (dual of [(170, 3), 392, 28]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(2118, 102, F2, 5, 27) (dual of [(102, 5), 392, 28]-NRT-code) | [i] | ||
| 7 | Linear OOA(2118, 85, F2, 6, 27) (dual of [(85, 6), 392, 28]-NRT-code) | [i] | ||
| 8 | Linear OOA(2118, 73, F2, 7, 27) (dual of [(73, 7), 393, 28]-NRT-code) | [i] | ||