Information on Result #687139

Linear OA(8119, 4120, F8, 31) (dual of [4120, 4001, 32]-code), using construction XX applied to C([0,16]) ⊂ C([0,13]) ⊂ C([0,12]) 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(897, 4097, F8, 27) (dual of [4097, 4000, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  3. linear OA(889, 4097, F8, 25) (dual of [4097, 4008, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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.