Information on Result #665553
Linear OA(25107, 15649, F25, 30) (dual of [15649, 15542, 31]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(2510, 12, F25, 10) (dual of [12, 2, 11]-code or 12-arc in PG(9,25)), using
- discarding factors / shortening the dual code based on linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using
- Reed–Solomon code RS(15,25) [i]
- discarding factors / shortening the dual code based on linear OA(2510, 25, F25, 10) (dual of [25, 15, 11]-code or 25-arc in PG(9,25)), using
- linear OA(2512, 12, F25, 12) (dual of [12, 0, 13]-code or 12-arc in PG(11,25)), using
- linear OA(2585, 15625, F25, 30) (dual of [15625, 15540, 31]-code), using
- an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 15624 = 253−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [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.