Information on Result #616820
Linear OA(2521, 31, F25, 17) (dual of [31, 10, 18]-code), using construction X applied to C([0,8]) ⊂ C([1,8]) based on
- linear OA(2517, 26, F25, 17) (dual of [26, 9, 18]-code or 26-arc in PG(16,25)), using the expurgated narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2516, 26, F25, 12) (dual of [26, 10, 13]-code), using the narrow-sense BCH-code C(I) with length 26 | 252−1, defining interval I = [1,8], and minimum distance d ≥ |{4,5,6,7,8}| + |{5,14,23,…,0}∖{8,7,6,5}| = 13 (general Roos-bound) [i]
- linear OA(254, 5, F25, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,25)), using
- dual of repetition code with length 5 [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.