Information on Result #665584
Linear OA(25101, 15651, F25, 28) (dual of [15651, 15550, 29]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(259, 13, F25, 9) (dual of [13, 4, 10]-code or 13-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(2513, 13, F25, 13) (dual of [13, 0, 14]-code or 13-arc in PG(12,25)), using
- linear OA(2579, 15625, F25, 28) (dual of [15625, 15546, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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.