Information on Result #629304
Linear OA(2136, 186, F2, 43) (dual of [186, 50, 44]-code), using concatenation of two codes based on
- linear OA(437, 62, F4, 21) (dual of [62, 25, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(437, 63, F4, 21) (dual of [63, 26, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 22 [i]
- the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(437, 63, F4, 21) (dual of [63, 26, 22]-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.