Information on Result #664605
Linear OA(16127, 4126, F16, 36) (dual of [4126, 3999, 37]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(1612, 15, F16, 12) (dual of [15, 3, 13]-code or 15-arc in PG(11,16)), using
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- Reed–Solomon code RS(4,16) [i]
- discarding factors / shortening the dual code based on linear OA(1612, 16, F16, 12) (dual of [16, 4, 13]-code or 16-arc in PG(11,16)), using
- linear OA(1615, 15, F16, 15) (dual of [15, 0, 16]-code or 15-arc in PG(14,16)), using
- linear OA(16100, 4096, F16, 36) (dual of [4096, 3996, 37]-code), using
- an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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.