Information on Result #670083
Linear OA(8168, 531459, F81, 18) (dual of [531459, 531391, 19]-code), using generalized (u, u+v)-construction based on
- linear OA(814, 6, F81, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,81)), using
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- Reed–Solomon code RS(77,81) [i]
- discarding factors / shortening the dual code based on linear OA(814, 81, F81, 4) (dual of [81, 77, 5]-code or 81-arc in PG(3,81)), using
- linear OA(816, 6, F81, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,81)), using
- linear OA(816, 6, F81, 6) (dual of [6, 0, 7]-code or 6-arc in PG(5,81)) (see above)
- linear OA(8152, 531441, F81, 18) (dual of [531441, 531389, 19]-code), using
- an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, 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.