Information on Result #612082
Linear OA(3140, 210, F3, 30) (dual of [210, 70, 31]-code), using construction X applied to C([0,28]) ⊂ C([1,28]) based on
- linear OA(3139, 208, F3, 30) (dual of [208, 69, 31]-code), using the expurgated narrow-sense BCH-code C(I) with length 208 | 312−1, defining interval I = [0,28], and minimum distance d ≥ |{−1,0,…,28}|+1 = 31 (BCH-bound) [i]
- linear OA(3138, 208, F3, 28) (dual of [208, 70, 29]-code), using the narrow-sense BCH-code C(I) with length 208 | 312−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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.