Information on Result #629345
Linear OA(2152, 192, F2, 53) (dual of [192, 40, 54]-code), using concatenation of two codes based on
- linear OA(444, 64, F4, 26) (dual of [64, 20, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(21, 3, F2, 1) (dual of [3, 2, 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(2152, 192, F2, 52) (dual of [192, 40, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2151, 191, F2, 52) (dual of [191, 40, 53]-code) | [i] | Truncation | |
| 3 | Linear OOA(2152, 64, F2, 3, 53) (dual of [(64, 3), 40, 54]-NRT-code) | [i] | OOA Folding | |