Information on Result #671535
Linear OA(25651, 65554, F256, 18) (dual of [65554, 65503, 19]-code), using generalized (u, u+v)-construction based on
- linear OA(2564, 6, F256, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,256)), using
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- Reed–Solomon code RS(252,256) [i]
- discarding factors / shortening the dual code based on linear OA(2564, 256, F256, 4) (dual of [256, 252, 5]-code or 256-arc in PG(3,256)), using
- linear OA(2566, 6, F256, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,256)), using
- linear OA(2566, 6, F256, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,256)) (see above)
- linear OA(25635, 65536, F256, 18) (dual of [65536, 65501, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.