Information on Result #616536
Linear OA(16127, 4116, F16, 39) (dual of [4116, 3989, 40]-code), using construction X applied to C([0,19]) ⊂ C([1,19]) based on
- linear OA(16109, 4097, F16, 39) (dual of [4097, 3988, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
- linear OA(16108, 4097, F16, 20) (dual of [4097, 3989, 21]-code), using the narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [1,19], and minimum distance d ≥ |{−19,−17,−15,…,19}|+1 = 21 (BCH-bound) [i]
- linear OA(1618, 19, F16, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,16)), using
- dual of repetition code with length 19 [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.