Information on Result #670104
Linear OA(8178, 6725, F81, 28) (dual of [6725, 6647, 29]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(819, 82, F81, 9) (dual of [82, 73, 10]-code or 82-arc in PG(8,81)), using
- extended Reed–Solomon code RSe(73,81) [i]
- the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(8114, 82, F81, 14) (dual of [82, 68, 15]-code or 82-arc in PG(13,81)), using
- extended Reed–Solomon code RSe(68,81) [i]
- linear OA(8155, 6561, F81, 28) (dual of [6561, 6506, 29]-code), using
- an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, 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.