Information on Result #613448

Linear OA(4257, 298, F4, 83) (dual of [298, 41, 84]-code), using construction X applied to C([0,41]) ⊂ C([1,41]) based on
  1. linear OA(4217, 257, F4, 83) (dual of [257, 40, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,41], and minimum distance d ≥ |{−41,−40,…,41}|+1 = 84 (BCH-bound) [i]
  2. linear OA(4216, 257, F4, 42) (dual of [257, 41, 43]-code), using the narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [1,41], and minimum distance d ≥ |{−41,−39,−37,…,41}|+1 = 43 (BCH-bound) [i]
  3. linear OA(440, 41, F4, 40) (dual of [41, 1, 41]-code or 41-arc in PG(39,4)), 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.