Information on Result #669433
Linear OA(6468, 262162, F64, 18) (dual of [262162, 262094, 19]-code), using generalized (u, u+v)-construction based on
- linear OA(644, 6, F64, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,64)), using
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- Reed–Solomon code RS(60,64) [i]
- discarding factors / shortening the dual code based on linear OA(644, 64, F64, 4) (dual of [64, 60, 5]-code or 64-arc in PG(3,64)), using
- linear OA(646, 6, F64, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,64)), using
- linear OA(646, 6, F64, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,64)) (see above)
- linear OA(6452, 262144, F64, 18) (dual of [262144, 262092, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 643−1, 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.