Information on Result #611620
Linear OA(314, 18, F3, 9) (dual of [18, 4, 10]-code), using construction X applied to C([0,7]) ⊂ C([1,7]) based on
- linear OA(313, 16, F3, 9) (dual of [16, 3, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 16 | 34−1, defining interval I = [0,7], and minimum distance d ≥ |{−1,0,…,7}|+1 = 10 (BCH-bound) [i]
- linear OA(312, 16, F3, 7) (dual of [16, 4, 8]-code), using the narrow-sense BCH-code C(I) with length 16 | 34−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [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.