Information on Result #685255

Linear OA(743, 357, F7, 15) (dual of [357, 314, 16]-code), using construction XX applied to C([0,7]) ⊂ C([0,5]) ⊂ C([0,4]) based on
  1. linear OA(737, 344, F7, 15) (dual of [344, 307, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  2. linear OA(731, 344, F7, 11) (dual of [344, 313, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
  3. linear OA(725, 344, F7, 9) (dual of [344, 319, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
  4. linear OA(74, 11, F7, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,7)), using
  5. linear OA(71, 2, F7, 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.