Information on Result #617626
Linear OA(2736, 40, F27, 25) (dual of [40, 4, 26]-code), using construction X applied to C([0,12]) ⊂ C([1,12]) based on
- linear OA(2725, 28, F27, 25) (dual of [28, 3, 26]-code or 28-arc in PG(24,27)), using the expurgated narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2724, 28, F27, 13) (dual of [28, 4, 14]-code), using the narrow-sense BCH-code C(I) with length 28 | 272−1, defining interval I = [1,12], and minimum distance d ≥ |{1,2,…,12}| + |{−13,0}| = 14 (simple Roos-bound) [i]
- linear OA(2711, 12, F27, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,27)), using
- dual of repetition code with length 12 [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.