Information on Result #664626
Linear OA(16112, 4124, F16, 31) (dual of [4124, 4012, 32]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1610, 14, F16, 10) (dual of [14, 4, 11]-code or 14-arc in PG(9,16)), using
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- Reed–Solomon code RS(6,16) [i]
- discarding factors / shortening the dual code based on linear OA(1610, 16, F16, 10) (dual of [16, 6, 11]-code or 16-arc in PG(9,16)), using
- linear OA(1614, 14, F16, 14) (dual of [14, 0, 15]-code or 14-arc in PG(13,16)), using
- linear OA(1688, 4096, F16, 31) (dual of [4096, 4008, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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.