Information on Result #613847

Linear OA(5138, 78138, F5, 23) (dual of [78138, 78000, 24]-code), using construction X applied to C([0,11]) ⊂ C([1,11]) based on
  1. linear OA(5127, 78126, F5, 23) (dual of [78126, 77999, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(5126, 78126, F5, 11) (dual of [78126, 78000, 12]-code), using the narrow-sense BCH-code C(I) with length 78126 | 514−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  3. linear OA(511, 12, F5, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,5)), 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.