Information on Result #629609
Linear OA(2208, 256, F2, 73) (dual of [256, 48, 74]-code), using concatenation of two codes based on
- linear OA(848, 64, F8, 36) (dual of [64, 16, 37]-code), using
- an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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(2208, 256, F2, 72) (dual of [256, 48, 73]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2207, 255, F2, 72) (dual of [255, 48, 73]-code) | [i] | Truncation | |