Information on Result #710199

Linear OA(5102, 154, F5, 46) (dual of [154, 52, 47]-code), using construction XX applied to C1 = C([1,46]), C2 = C([0,36]), C3 = C1 + C2 = C([1,36]), and C∩ = C1 ∩ C2 = C([0,46]) based on
  1. linear OA(588, 124, F5, 46) (dual of [124, 36, 47]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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 expurgated narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [0,46], and designed minimum distance d ≥ |I|+1 = 48 [i]
  4. linear OA(570, 124, F5, 36) (dual of [124, 54, 37]-code), using the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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(50, 1, F5, 0) (dual of [1, 1, 1]-code), 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.