Information on Result #616547
Linear OA(1692, 277, F16, 41) (dual of [277, 185, 42]-code), using construction X applied to C([0,20]) ⊂ C([1,20]) based on
- linear OA(1673, 257, F16, 41) (dual of [257, 184, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(1672, 257, F16, 21) (dual of [257, 185, 22]-code), using the narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [1,20], and minimum distance d ≥ |{1,2,…,20}| + |{−21,0}| = 22 (simple Roos-bound) [i]
- linear OA(1619, 20, F16, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,16)), using
- dual of repetition code with length 20 [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.