Information on Result #612403
Linear OA(3198, 226, F3, 57) (dual of [226, 28, 58]-code), using construction X applied to C([0,55]) ⊂ C([1,55]) based on
- linear OA(3197, 224, F3, 57) (dual of [224, 27, 58]-code), using the expurgated narrow-sense BCH-code C(I) with length 224 | 324−1, defining interval I = [0,55], and minimum distance d ≥ |{−1,0,…,55}|+1 = 58 (BCH-bound) [i]
- linear OA(3196, 224, F3, 55) (dual of [224, 28, 56]-code), using the narrow-sense BCH-code C(I) with length 224 | 324−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 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.