Information on Result #619257
Linear OA(8115, 87, F81, 11) (dual of [87, 72, 12]-code), using construction X applied to C([0,5]) ⊂ C([1,5]) based on
- linear OA(8111, 82, F81, 11) (dual of [82, 71, 12]-code or 82-arc in PG(10,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(8110, 82, F81, 6) (dual of [82, 72, 7]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,5], and minimum distance d ≥ |{1,2,3,4,5}| + |{0,19,38,…,13}∖{19,38,−25,13}| = 7 (general Roos-bound) [i]
- linear OA(814, 5, F81, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,81)), using
- dual of repetition code with length 5 [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.