Information on Result #665404
Linear OA(2592, 15649, F25, 24) (dual of [15649, 15557, 25]-code), using generalized (u, u+v)-construction based on
- linear OA(254, 6, F25, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,25)), using
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- Reed–Solomon code RS(21,25) [i]
- discarding factors / shortening the dual code based on linear OA(254, 25, F25, 4) (dual of [25, 21, 5]-code or 25-arc in PG(3,25)), using
- linear OA(256, 6, F25, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,25)), using
- linear OA(256, 6, F25, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,25)) (see above)
- linear OA(256, 6, F25, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,25)) (see above)
- linear OA(2570, 15625, F25, 24) (dual of [15625, 15555, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 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.