Information on Result #704901

Linear OA(3161, 777, F3, 38) (dual of [777, 616, 39]-code), using construction XX applied to C1 = C([331,364]), C2 = C([336,368]), C3 = C1 + C2 = C([336,364]), and C∩ = C1 ∩ C2 = C([331,368]) based on
  1. linear OA(3130, 728, F3, 34) (dual of [728, 598, 35]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,364}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(3130, 728, F3, 33) (dual of [728, 598, 34]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,368}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  3. linear OA(3148, 728, F3, 38) (dual of [728, 580, 39]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {331,332,…,368}, and designed minimum distance d ≥ |I|+1 = 39 [i]
  4. linear OA(3112, 728, F3, 29) (dual of [728, 616, 30]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {336,337,…,364}, and designed minimum distance d ≥ |I|+1 = 30 [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(3161, 259, F3, 3, 38) (dual of [(259, 3), 616, 39]-NRT-code) [i]OOA Folding