Information on Result #619508
Linear OA(8181, 103, F81, 61) (dual of [103, 22, 62]-code), using construction X applied to C([0,30]) ⊂ C([1,30]) based on
- linear OA(8161, 82, F81, 61) (dual of [82, 21, 62]-code or 82-arc in PG(60,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,30], and minimum distance d ≥ |{−30,−29,…,30}|+1 = 62 (BCH-bound) [i]
- linear OA(8160, 82, F81, 40) (dual of [82, 22, 41]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,30], and minimum distance d ≥ |{1,2,…,14}| + |{13,40,67,…,0}∖{28,29,30,31,32,33,34,35,36,37,38,39,40}| = 41 (general Roos-bound) [i]
- linear OA(8120, 21, F81, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,81)), using
- dual of repetition code with length 21 [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.