Information on Result #665453
Linear OA(2583, 15646, F25, 22) (dual of [15646, 15563, 23]-code), using generalized (u, u+v)-construction based on
- linear OA(255, 7, F25, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,25)), using
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- Reed–Solomon code RS(20,25) [i]
- discarding factors / shortening the dual code based on linear OA(255, 25, F25, 5) (dual of [25, 20, 6]-code or 25-arc in PG(4,25)), using
- linear OA(257, 7, F25, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,25)), using
- linear OA(257, 7, F25, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,25)) (see above)
- linear OA(2564, 15625, F25, 22) (dual of [15625, 15561, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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.