Information on Result #664624
Linear OA(16110, 4120, F16, 31) (dual of [4120, 4010, 32]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1610, 12, F16, 10) (dual of [12, 2, 11]-code or 12-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(1612, 12, F16, 12) (dual of [12, 0, 13]-code or 12-arc in PG(11,16)), 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.