Information on Result #672032
Linear OA(6437, 4226, F64, 14) (dual of [4226, 4189, 15]-code), using (u, u+v)-construction based on
- linear OA(6410, 130, F64, 7) (dual of [130, 120, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(643, 65, F64, 3) (dual of [65, 62, 4]-code or 65-arc in PG(2,64) or 65-cap in PG(2,64)), using
- extended Reed–Solomon code RSe(62,64) [i]
- linear OA(647, 65, F64, 7) (dual of [65, 58, 8]-code or 65-arc in PG(6,64)), using
- extended Reed–Solomon code RSe(58,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
- linear OA(643, 65, F64, 3) (dual of [65, 62, 4]-code or 65-arc in PG(2,64) or 65-cap in PG(2,64)), using
- (u, u+v)-construction [i] based on
- linear OA(6427, 4096, F64, 14) (dual of [4096, 4069, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.