Information on Result #677690
Linear OA(349, 59, F3, 29) (dual of [59, 10, 30]-code), using construction X applied to C([0,57]) ⊂ C([1,55]) based on
- linear OA(348, 56, F3, 29) (dual of [56, 8, 30]-code), using contraction [i] based on linear OA(3104, 112, F3, 59) (dual of [112, 8, 60]-code), using the expurgated narrow-sense BCH-code C(I) with length 112 | 312−1, defining interval I = [0,57], and minimum distance d ≥ |{−1,0,…,57}|+1 = 60 (BCH-bound) [i]
- linear OA(346, 56, F3, 27) (dual of [56, 10, 28]-code), using contraction [i] based on linear OA(3102, 112, F3, 55) (dual of [112, 10, 56]-code), using the narrow-sense BCH-code C(I) with length 112 | 312−1, defining interval I = [1,55], and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(31, 3, F3, 1) (dual of [3, 2, 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.