Information on Result #705525

Linear OA(3210, 766, F3, 51) (dual of [766, 556, 52]-code), using construction XX applied to C1 = C([322,370]), C2 = C([319,365]), C3 = C1 + C2 = C([322,365]), and C∩ = C1 ∩ C2 = C([319,370]) based on
  1. linear OA(3190, 728, F3, 49) (dual of [728, 538, 50]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {322,323,…,370}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  2. linear OA(3184, 728, F3, 47) (dual of [728, 544, 48]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {319,320,…,365}, and designed minimum distance d ≥ |I|+1 = 48 [i]
  3. linear OA(3202, 728, F3, 52) (dual of [728, 526, 53]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {319,320,…,370}, and designed minimum distance d ≥ |I|+1 = 53 [i]
  4. 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 = {322,323,…,365}, and designed minimum distance d ≥ |I|+1 = 45 [i]
  5. linear OA(37, 25, F3, 4) (dual of [25, 18, 5]-code), using
  6. linear OA(31, 13, F3, 1) (dual of [13, 12, 2]-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3210, 383, F3, 2, 51) (dual of [(383, 2), 556, 52]-NRT-code) [i]OOA Folding
2Linear OOA(3210, 255, F3, 3, 51) (dual of [(255, 3), 555, 52]-NRT-code) [i]