Information on Result #629543
Linear OA(2184, 256, F2, 57) (dual of [256, 72, 58]-code), using concatenation of two codes based on
- linear OA(840, 64, F8, 28) (dual of [64, 24, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(21, 4, F2, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
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(2183, 255, F2, 56) (dual of [255, 72, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(2184, 128, F2, 2, 57) (dual of [(128, 2), 72, 58]-NRT-code) | [i] | OOA Folding | |