Information on Result #619505

Linear OA(8177, 101, F81, 59) (dual of [101, 24, 60]-code), using construction X applied to C([0,29]) ⊂ C([1,29]) based on
  1. linear OA(8159, 82, F81, 59) (dual of [82, 23, 60]-code or 82-arc in PG(58,81)), using the expurgated narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [0,29], and minimum distance d ≥ |{−29,−28,…,29}|+1 = 60 (BCH-bound) [i]
  2. linear OA(8158, 82, F81, 40) (dual of [82, 24, 41]-code), using the narrow-sense BCH-code C(I) with length 82 | 812−1, defining interval I = [1,29], 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]
  3. linear OA(8118, 19, F81, 18) (dual of [19, 1, 19]-code or 19-arc in PG(17,81)), using

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.