Information on Result #619483
Linear OA(8164, 98, F81, 49) (dual of [98, 34, 50]-code), using construction X applied to C([0,24]) ⊂ C([1,24]) based on
- linear OA(8149, 82, F81, 49) (dual of [82, 33, 50]-code or 82-arc in PG(48,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
- linear OA(8148, 82, F81, 33) (dual of [82, 34, 34]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,24], and minimum distance d ≥ |{1,2,…,14}| + |{38,65,10,…,0}∖{−27,28,−26,29,30,31,32,33,34,35,36,37,38}| = 34 (general Roos-bound) [i]
- linear OA(8115, 16, F81, 15) (dual of [16, 1, 16]-code or 16-arc in PG(14,81)), using
- dual of repetition code with length 16 [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.