Information on Result #1301702

Linear OA(5106, 3152, F5, 25) (dual of [3152, 3046, 26]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(5105, 3150, F5, 25) (dual of [3150, 3045, 26]-code), using
    • construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
      1. linear OA(5101, 3126, F5, 25) (dual of [3126, 3025, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
      2. linear OA(581, 3126, F5, 21) (dual of [3126, 3045, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 3126 | 510−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
      3. linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), using
  2. linear OA(5105, 3151, F5, 24) (dual of [3151, 3046, 25]-code), using Gilbert–VarÅ¡amov bound and bm = 5105 > Vbs−1(k−1) = 727549 147721 112852 495271 655156 036122 876236 853997 321954 412089 282066 106601 [i]
  3. linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using

Mode: 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.