Information on Result #705164

Linear OA(3185, 777, F3, 44) (dual of [777, 592, 45]-code), using construction XX applied to C1 = C([331,370]), C2 = C([327,365]), C3 = C1 + C2 = C([331,365]), and C∩ = C1 ∩ C2 = C([327,370]) based on
  1. linear OA(3154, 728, F3, 40) (dual of [728, 574, 41]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,370}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(3154, 728, F3, 39) (dual of [728, 574, 40]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {327,328,…,365}, and designed minimum distance d ≥ |I|+1 = 40 [i]
  3. linear OA(3172, 728, F3, 44) (dual of [728, 556, 45]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {327,328,…,370}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  4. linear OA(3136, 728, F3, 35) (dual of [728, 592, 36]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,365}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  5. linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
  6. linear OA(36, 24, F3, 3) (dual of [24, 18, 4]-code or 24-cap in PG(5,3)), 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3185, 259, F3, 3, 44) (dual of [(259, 3), 592, 45]-NRT-code) [i]OOA Folding