Information on Result #629535
Linear OA(2174, 228, F2, 55) (dual of [228, 54, 56]-code), using concatenation of two codes based on
- linear OA(839, 57, F8, 27) (dual of [57, 18, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(839, 63, F8, 27) (dual of [63, 24, 28]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 28 [i]
- the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- discarding factors / shortening the dual code based on linear OA(839, 63, F8, 27) (dual of [63, 24, 28]-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
None.