Information on Result #665589
Linear OA(2570, 647, F25, 27) (dual of [647, 577, 28]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(259, 11, F25, 9) (dual of [11, 2, 10]-code or 11-arc in PG(8,25)), using
- discarding factors / shortening the dual code based on linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using
- Reed–Solomon code RS(16,25) [i]
- discarding factors / shortening the dual code based on linear OA(259, 25, F25, 9) (dual of [25, 16, 10]-code or 25-arc in PG(8,25)), using
- linear OA(2511, 11, F25, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,25)), using
- linear OA(2550, 625, F25, 27) (dual of [625, 575, 28]-code), using
- an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 624 = 252−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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.