Information on Result #673925
Linear OA(2176, 255, F2, 54) (dual of [255, 79, 55]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55
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(2189, 261, F2, 60) (dual of [261, 72, 61]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(2191, 264, F2, 60) (dual of [264, 73, 61]-code) | [i] | ✔ | |
| 3 | Linear OA(2192, 267, F2, 60) (dual of [267, 75, 61]-code) | [i] | ✔ | |
| 4 | Linear OA(2193, 272, F2, 60) (dual of [272, 79, 61]-code) | [i] | ✔ | |
| 5 | Linear OA(2190, 277, F2, 57) (dual of [277, 87, 58]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(2187, 274, F2, 56) (dual of [274, 87, 57]-code) | [i] | ✔ | |
| 7 | Linear OA(2202, 275, F2, 62) (dual of [275, 73, 63]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 8 | Linear OA(2199, 271, F2, 62) (dual of [271, 72, 63]-code) | [i] | ✔ | |
| 9 | Linear OA(2195, 275, F2, 60) (dual of [275, 80, 61]-code) | [i] | ✔ | |
| 10 | Linear OOA(2176, 127, F2, 2, 54) (dual of [(127, 2), 78, 55]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(2176, 85, F2, 3, 54) (dual of [(85, 3), 79, 55]-NRT-code) | [i] | ||