Information on Result #668026
Linear OA(32103, 32792, F32, 28) (dual of [32792, 32689, 29]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(329, 12, F32, 9) (dual of [12, 3, 10]-code or 12-arc in PG(8,32)), using
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- Reed–Solomon code RS(23,32) [i]
- discarding factors / shortening the dual code based on linear OA(329, 32, F32, 9) (dual of [32, 23, 10]-code or 32-arc in PG(8,32)), using
- linear OA(3212, 12, F32, 12) (dual of [12, 0, 13]-code or 12-arc in PG(11,32)), using
- linear OA(3282, 32768, F32, 28) (dual of [32768, 32686, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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.