Information on Result #629331
Linear OA(2140, 168, F2, 49) (dual of [168, 28, 50]-code), using concatenation of two codes based on
- linear OA(442, 56, F4, 24) (dual of [56, 14, 25]-code), using
- discarding factors / shortening the dual code based on linear OA(442, 62, F4, 24) (dual of [62, 20, 25]-code), using
- 2 times truncation [i] 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]
- 2 times truncation [i] based on linear OA(444, 64, F4, 26) (dual of [64, 20, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(442, 62, F4, 24) (dual of [62, 20, 25]-code), using
- 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
None.