Information on Result #629258
Linear OA(232, 48, F2, 13) (dual of [48, 16, 14]-code), using concatenation of two codes based on
- linear OA(48, 16, F4, 6) (dual of [16, 8, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [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(231, 47, F2, 12) (dual of [47, 16, 13]-code) | [i] | Truncation | |
| 2 | Linear OOA(232, 24, F2, 2, 13) (dual of [(24, 2), 16, 14]-NRT-code) | [i] | OOA Folding | |