Information on Result #685235

Linear OA(773, 363, F7, 25) (dual of [363, 290, 26]-code), using construction XX applied to C([0,12]) ⊂ C([0,10]) ⊂ C([0,9]) based on
  1. linear OA(767, 344, F7, 25) (dual of [344, 277, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(749, 344, F7, 19) (dual of [344, 295, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
  4. linear OA(74, 17, F7, 3) (dual of [17, 13, 4]-code or 17-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.