Information on Result #664734
Linear OA(1639, 4131, F16, 11) (dual of [4131, 4092, 12]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(163, 17, F16, 3) (dual of [17, 14, 4]-code or 17-arc in PG(2,16) or 17-cap in PG(2,16)), using
- extended Reed–Solomon code RSe(14,16) [i]
- linear OA(165, 17, F16, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,16)), using
- extended Reed–Solomon code RSe(12,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,2], and minimum distance d ≥ |{−2,−1,0,1,2}|+1 = 6 (BCH-bound) [i]
- linear OA(1631, 4097, F16, 11) (dual of [4097, 4066, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [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.