Information on Result #1301540

Linear OA(586, 3151, F5, 20) (dual of [3151, 3065, 21]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(585, 3149, F5, 20) (dual of [3149, 3064, 21]-code), using
    • construction X applied to Ce(20) ⊂ Ce(15) [i] based on
      1. linear OA(581, 3125, F5, 21) (dual of [3125, 3044, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
      2. linear OA(561, 3125, F5, 16) (dual of [3125, 3064, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(585, 3150, F5, 19) (dual of [3150, 3065, 20]-code), using Gilbert–VarÅ¡amov bound and bm = 585 > Vbs−1(k−1) = 9491 413639 746934 882050 559356 436935 300313 789835 585074 859669 [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.