Information on Result #701637
Linear OA(2116, 255, F2, 30) (dual of [255, 139, 31]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
Mode: Constructive and linear.
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
- Primitive BCH-Codes (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2128, 291, F2, 30) (dual of [291, 163, 31]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2130, 277, F2, 33) (dual of [277, 147, 34]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 3 | Linear OA(2127, 274, F2, 32) (dual of [274, 147, 33]-code) | [i] | ✔ | |
| 4 | Linear OOA(2116, 127, F2, 2, 30) (dual of [(127, 2), 138, 31]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(2116, 85, F2, 3, 30) (dual of [(85, 3), 139, 31]-NRT-code) | [i] | ||
| 6 | Linear OOA(2116, 63, F2, 4, 30) (dual of [(63, 4), 136, 31]-NRT-code) | [i] | ||