Information on Result #669589
Linear OA(6451, 262274, F64, 14) (dual of [262274, 262223, 15]-code), using (u, u−v, u+v+w)-construction 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(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(6440, 262144, F64, 14) (dual of [262144, 262104, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, 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.