Information on Result #705457

Linear OA(3217, 782, F3, 51) (dual of [782, 565, 52]-code), using construction XX applied to C1 = C([318,363]), C2 = C([324,368]), C3 = C1 + C2 = C([324,363]), and C∩ = C1 ∩ C2 = C([318,368]) based on
  1. linear OA(3183, 728, F3, 46) (dual of [728, 545, 47]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {318,319,…,363}, and designed minimum distance d ≥ |I|+1 = 47 [i]
  2. linear OA(3178, 728, F3, 45) (dual of [728, 550, 46]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,368}, and designed minimum distance d ≥ |I|+1 = 46 [i]
  3. linear OA(3202, 728, F3, 51) (dual of [728, 526, 52]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {318,319,…,368}, and designed minimum distance d ≥ |I|+1 = 52 [i]
  4. linear OA(3159, 728, F3, 40) (dual of [728, 569, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {324,325,…,363}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  5. linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
  6. linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
    • the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]

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.