Information on Result #617887
Linear OA(27104, 170, F27, 49) (dual of [170, 66, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
- linear OA(2781, 146, F27, 49) (dual of [146, 65, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(2780, 146, F27, 25) (dual of [146, 66, 26]-code), using the narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [1,24], and minimum distance d ≥ |{1,2,…,24}| + |{−25,0}| = 26 (simple Roos-bound) [i]
- linear OA(2723, 24, F27, 23) (dual of [24, 1, 24]-code or 24-arc in PG(22,27)), using
- dual of repetition code with length 24 [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.