Information on Result #671531
Linear OA(25657, 65557, F256, 20) (dual of [65557, 65500, 21]-code), using generalized (u, u+v)-construction based on
- linear OA(2565, 7, F256, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- linear OA(2566, 7, F256, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,256)), using
- dual of repetition code with length 7 [i]
- linear OA(2567, 7, F256, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,256)), using
- linear OA(25639, 65536, F256, 20) (dual of [65536, 65497, 21]-code), using
- an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [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.