Information on Result #618479

Linear OA(4916, 2406, F49, 7) (dual of [2406, 2390, 8]-code), using construction X applied to C([0,3]) ⊂ C([1,3]) based on
  1. linear OA(4913, 2402, F49, 7) (dual of [2402, 2389, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (BCH-bound) [i]
  2. linear OA(4912, 2402, F49, 3) (dual of [2402, 2390, 4]-code or 2402-cap in PG(11,49)), using the narrow-sense BCH-code C(I) with length 2402 | 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
  3. linear OA(493, 4, F49, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,49) or 4-cap in PG(2,49)), 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.