Information on Result #672022
Linear OA(6448, 4226, F64, 18) (dual of [4226, 4178, 19]-code), using (u, u+v)-construction based on
- linear OA(6413, 130, F64, 9) (dual of [130, 117, 10]-code), using
- (u, u+v)-construction [i] based on
- linear OA(644, 65, F64, 4) (dual of [65, 61, 5]-code or 65-arc in PG(3,64)), using
- extended Reed–Solomon code RSe(61,64) [i]
- linear OA(649, 65, F64, 9) (dual of [65, 56, 10]-code or 65-arc in PG(8,64)), using
- extended Reed–Solomon code RSe(56,64) [i]
- the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(644, 65, F64, 4) (dual of [65, 61, 5]-code or 65-arc in PG(3,64)), using
- (u, u+v)-construction [i] based on
- linear OA(6435, 4096, F64, 18) (dual of [4096, 4061, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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.