Information on Result #2175058
Linear OA(2149, 157, F2, 75) (dual of [157, 8, 76]-code), using adding a parity check bit based on linear OA(2148, 156, F2, 74) (dual of [156, 8, 75]-code), using
- juxtaposition [i] based on
- linear OA(220, 28, F2, 10) (dual of [28, 8, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(220, 31, F2, 10) (dual of [31, 11, 11]-code), using
- the primitive narrow-sense BCH-code C(I) with length 31 = 25−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 11 [i]
- discarding factors / shortening the dual code based on linear OA(220, 31, F2, 10) (dual of [31, 11, 11]-code), using
- linear OA(2120, 128, F2, 63) (dual of [128, 8, 64]-code), using
- Reed–Muller code RM(5,7) [i]
- linear OA(220, 28, F2, 10) (dual of [28, 8, 11]-code), 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(2149, 157, F2, 74) (dual of [157, 8, 75]-code) | [i] | Strength Reduction | |