Information on Result #701659
Linear OA(2164, 255, F2, 50) (dual of [255, 91, 51]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,50], and designed minimum distance d ≥ |I|+1 = 51
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(2164, 255, F2, 49) (dual of [255, 91, 50]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2164, 255, F2, 48) (dual of [255, 91, 49]-code) | [i] | ||
| 3 | Linear OA(2166, 257, F2, 50) (dual of [257, 91, 51]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(2176, 291, F2, 48) (dual of [291, 115, 49]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(2182, 273, F2, 55) (dual of [273, 91, 56]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(2179, 270, F2, 54) (dual of [270, 91, 55]-code) | [i] | ✔ | |
| 7 | Linear OOA(2164, 127, F2, 2, 50) (dual of [(127, 2), 90, 51]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(2164, 85, F2, 3, 50) (dual of [(85, 3), 91, 51]-NRT-code) | [i] | ||
| 9 | Linear OOA(2164, 51, F2, 5, 50) (dual of [(51, 5), 91, 51]-NRT-code) | [i] | ||