Information on Result #685203

Linear OA(7103, 392, F7, 33) (dual of [392, 289, 34]-code), using construction X applied to C([0,16]) ⊂ C([0,10]) based on
  1. linear OA(785, 344, F7, 33) (dual of [344, 259, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
  2. linear OA(755, 344, F7, 21) (dual of [344, 289, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  3. linear OA(718, 48, F7, 11) (dual of [48, 30, 12]-code), using
    • the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]

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.