Information on Result #615119

Linear OA(8129, 4114, F8, 33) (dual of [4114, 3985, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
  1. linear OA(8113, 4097, F8, 33) (dual of [4097, 3984, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(8112, 4097, F8, 16) (dual of [4097, 3985, 17]-code), using the narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(816, 17, F8, 16) (dual of [17, 1, 17]-code or 17-arc in PG(15,8)), 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.