Information on Result #687110

Linear OA(8167, 4120, F8, 45) (dual of [4120, 3953, 46]-code), using construction XX applied to C([0,22]) ⊂ C([0,20]) ⊂ C([0,19]) based on
  1. linear OA(8161, 4097, F8, 45) (dual of [4097, 3936, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound) [i]
  2. linear OA(8145, 4097, F8, 41) (dual of [4097, 3952, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
  3. linear OA(8137, 4097, F8, 39) (dual of [4097, 3960, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  4. linear OA(84, 21, F8, 3) (dual of [21, 17, 4]-code or 21-cap in PG(3,8)), using
  5. linear OA(81, 2, F8, 1) (dual of [2, 1, 2]-code), 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.