Information on Result #619502
Linear OA(8173, 99, F81, 57) (dual of [99, 26, 58]-code), using construction X applied to C([0,28]) ⊂ C([1,28]) based on
- linear OA(8157, 82, F81, 57) (dual of [82, 25, 58]-code or 82-arc in PG(56,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,28], and minimum distance d ≥ |{−28,−27,…,28}|+1 = 58 (BCH-bound) [i]
- linear OA(8156, 82, F81, 40) (dual of [82, 26, 41]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,28], 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(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.