Information on Result #664636
Linear OA(16105, 4130, F16, 29) (dual of [4130, 4025, 30]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(169, 17, F16, 9) (dual of [17, 8, 10]-code or 17-arc in PG(8,16)), using
- extended Reed–Solomon code RSe(8,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(1614, 17, F16, 14) (dual of [17, 3, 15]-code or 17-arc in PG(13,16)), using
- extended Reed–Solomon code RSe(3,16) [i]
- linear OA(1682, 4096, F16, 29) (dual of [4096, 4014, 30]-code), using
- an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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.