Information on Result #629597
Linear OA(2200, 248, F2, 69) (dual of [248, 48, 70]-code), using concatenation of two codes based on
- linear OA(846, 62, F8, 34) (dual of [62, 16, 35]-code), using
- 3 times truncation [i] based on linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 84−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- 3 times truncation [i] based on linear OA(849, 65, F8, 37) (dual of [65, 16, 38]-code), using
- 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(2200, 248, F2, 68) (dual of [248, 48, 69]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2199, 247, F2, 68) (dual of [247, 48, 69]-code) | [i] | Truncation | |