Information on Result #669481
Linear OA(6478, 4226, F64, 28) (dual of [4226, 4148, 29]-code), using (u, u−v, u+v+w)-construction based on
- 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(6414, 65, F64, 14) (dual of [65, 51, 15]-code or 65-arc in PG(13,64)), using
- extended Reed–Solomon code RSe(51,64) [i]
- linear OA(6455, 4096, F64, 28) (dual of [4096, 4041, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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.