Information on Result #685221

Linear OA(793, 365, F7, 33) (dual of [365, 272, 34]-code), using construction XX applied to C([0,16]) ⊂ C([0,14]) ⊂ C([0,12]) 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(773, 344, F7, 29) (dual of [344, 271, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 344 | 76−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  3. 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]
  4. linear OA(74, 17, F7, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,7)), using
  5. linear OA(73, 4, F7, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,7) or 4-cap in PG(2,7)), 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.