Information on Result #1301738

Linear OA(5116, 145, F5, 67) (dual of [145, 29, 68]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(5110, 137, F5, 67) (dual of [137, 27, 68]-code), using
    • construction XX applied to Ce(67) ⊂ Ce(62) ⊂ Ce(61) [i] based on
      1. linear OA(5105, 125, F5, 68) (dual of [125, 20, 69]-code), using an extension Ce(67) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,67], and designed minimum distance d ≥ |I|+1 = 68 [i]
      2. linear OA(599, 125, F5, 63) (dual of [125, 26, 64]-code), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63 [i]
      3. linear OA(598, 125, F5, 62) (dual of [125, 27, 63]-code), using an extension Ce(61) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,61], and designed minimum distance d ≥ |I|+1 = 62 [i]
      4. linear OA(54, 11, F5, 3) (dual of [11, 7, 4]-code or 11-cap in PG(3,5)), using
      5. linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), using
  2. linear OA(5110, 139, F5, 62) (dual of [139, 29, 63]-code), using Gilbert–VarÅ¡amov bound and bm = 5110 > Vbs−1(k−1) = 61938 981061 476432 879750 107314 728363 982035 593779 490898 300424 404138 060982 931705 [i]
  3. linear OA(54, 6, F5, 4) (dual of [6, 2, 5]-code or 6-arc in PG(3,5)), 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.