Information on Result #616583
Linear OA(16102, 279, F16, 45) (dual of [279, 177, 46]-code), using construction X applied to C([0,22]) ⊂ C([1,22]) based on
- linear OA(1681, 257, F16, 45) (dual of [257, 176, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
- linear OA(1680, 257, F16, 23) (dual of [257, 177, 24]-code), using the narrow-sense BCH-code C(I) with length 257 | 164−1, defining interval I = [1,22], and minimum distance d ≥ |{1,2,…,22}| + |{−23,0}| = 24 (simple Roos-bound) [i]
- linear OA(1621, 22, F16, 21) (dual of [22, 1, 22]-code or 22-arc in PG(20,16)), using
- dual of repetition code with length 22 [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.