Information on Result #619488
Linear OA(8165, 97, F81, 51) (dual of [97, 32, 52]-code), using construction X applied to C([0,25]) ⊂ C([1,25]) based on
- linear OA(8151, 82, F81, 51) (dual of [82, 31, 52]-code or 82-arc in PG(50,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,25], and minimum distance d ≥ |{−25,−24,…,25}|+1 = 52 (BCH-bound) [i]
- linear OA(8150, 82, F81, 36) (dual of [82, 32, 37]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,25], and minimum distance d ≥ |{1,2,…,14}| + |{39,66,11,…,0}∖{−27,28,29,30,31,32,33,34,35,36,37,38,39}| = 37 (general Roos-bound) [i]
- linear OA(8114, 15, F81, 14) (dual of [15, 1, 15]-code or 15-arc in PG(13,81)), using
- dual of repetition code with length 15 [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.