Information on Result #687119

Linear OA(8143, 4120, F8, 39) (dual of [4120, 3977, 40]-code), using construction XX applied to C([0,19]) ⊂ C([0,17]) ⊂ C([0,16]) based on
  1. 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]
  2. linear OA(8121, 4097, F8, 35) (dual of [4097, 3976, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 88−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
  3. 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]
  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.