Information on Result #612176
Linear OA(3122, 142, F3, 36) (dual of [142, 20, 37]-code), using construction X applied to C([0,34]) ⊂ C([1,34]) based on
- linear OA(3121, 140, F3, 36) (dual of [140, 19, 37]-code), using the expurgated narrow-sense BCH-code C(I) with length 140 | 312−1, defining interval I = [0,34], and minimum distance d ≥ |{−1,0,…,34}|+1 = 37 (BCH-bound) [i]
- linear OA(3120, 140, F3, 34) (dual of [140, 20, 35]-code), using the narrow-sense BCH-code C(I) with length 140 | 312−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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.