Information on Result #616276
Linear OA(1615, 20, F16, 13) (dual of [20, 5, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(1613, 17, F16, 13) (dual of [17, 4, 14]-code or 17-arc in PG(12,16)), using the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(1612, 17, F16, 10) (dual of [17, 5, 11]-code), using the narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [1,6], and minimum distance d ≥ |{−2,6,14,…,2}|+1 = 11 (BCH-bound) [i]
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [i]
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.
Other Results with Identical Parameters
None.
Depending Results
None.