Information on Result #664711
Linear OA(1655, 4131, F16, 15) (dual of [4131, 4076, 16]-code), using (u, u−v, u+v+w)-construction based on
- 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(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using
- extended Reed–Solomon code RSe(10,16) [i]
- the expurgated narrow-sense BCH-code C(I) with length 17 | 162−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(1643, 4097, F16, 15) (dual of [4097, 4054, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4097 | 166−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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.