Information on Result #619435
Linear OA(8153, 99, F81, 37) (dual of [99, 46, 38]-code), using construction X applied to C([0,18]) ⊂ C([1,18]) based on
- linear OA(8137, 82, F81, 37) (dual of [82, 45, 38]-code or 82-arc in PG(36,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
- linear OA(8136, 82, F81, 20) (dual of [82, 46, 21]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,18], and minimum distance d ≥ |{1,2,…,16}| + |{−7,2,11,…,0}∖{−9,−27,−36,37,28,19,10,−8,−26,−35,38,29,20,11,−7}| = 21 (general Roos-bound) [i]
- linear OA(8116, 17, F81, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,81)), using
- dual of repetition code with length 17 [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.