Information on Result #616669
Linear OA(16105, 112, F16, 69) (dual of [112, 7, 70]-code), using construction X applied to C([0,62]) ⊂ C([1,62]) based on
- linear OA(1699, 105, F16, 69) (dual of [105, 6, 70]-code), using the expurgated narrow-sense BCH-code C(I) with length 105 | 163−1, defining interval I = [0,62], and minimum distance d ≥ |{−13,16,45,…,−36}|+1 = 70 (BCH-bound) [i]
- linear OA(1698, 105, F16, 62) (dual of [105, 7, 63]-code), using the narrow-sense BCH-code C(I) with length 105 | 163−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
- linear OA(166, 7, F16, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,16)), using
- dual of repetition code with length 7 [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.