Information on Result #710196

Linear OA(5104, 158, F5, 46) (dual of [158, 54, 47]-code), using construction XX applied to C1 = C([114,33]), C2 = C([0,36]), C3 = C1 + C2 = C([0,33]), and C∩ = C1 ∩ C2 = C([114,36]) based on
  1. linear OA(586, 124, F5, 44) (dual of [124, 38, 45]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,33}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  2. linear OA(571, 124, F5, 37) (dual of [124, 53, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. linear OA(589, 124, F5, 47) (dual of [124, 35, 48]-code), using the primitive BCH-code C(I) with length 124 = 53−1, defining interval I = {−10,−9,…,36}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(568, 124, F5, 34) (dual of [124, 56, 35]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,33], and designed minimum distance d ≥ |I|+1 = 35 [i]
  5. linear OA(513, 29, F5, 8) (dual of [29, 16, 9]-code), using
    • construction X applied to Ce(7) ⊂ Ce(5) [i] based on
      1. linear OA(512, 25, F5, 8) (dual of [25, 13, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
      2. linear OA(59, 25, F5, 6) (dual of [25, 16, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
      3. linear OA(51, 4, F5, 1) (dual of [4, 3, 2]-code), using
  6. linear OA(52, 5, F5, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,5)), 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.