Information on Result #705929

Linear OA(3248, 741, F3, 65) (dual of [741, 493, 66]-code), using construction XX applied to C1 = C([301,364]), C2 = C([303,365]), C3 = C1 + C2 = C([303,364]), and C∩ = C1 ∩ C2 = C([301,365]) based on
  1. linear OA(3241, 728, F3, 64) (dual of [728, 487, 65]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {301,302,…,364}, and designed minimum distance d ≥ |I|+1 = 65 [i]
  2. linear OA(3241, 728, F3, 63) (dual of [728, 487, 64]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {303,304,…,365}, and designed minimum distance d ≥ |I|+1 = 64 [i]
  3. linear OA(3247, 728, F3, 65) (dual of [728, 481, 66]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {301,302,…,365}, and designed minimum distance d ≥ |I|+1 = 66 [i]
  4. linear OA(3235, 728, F3, 62) (dual of [728, 493, 63]-code), using the primitive BCH-code C(I) with length 728 = 36−1, defining interval I = {303,304,…,364}, and designed minimum distance d ≥ |I|+1 = 63 [i]
  5. linear OA(31, 7, F3, 1) (dual of [7, 6, 2]-code), using
  6. linear OA(30, 6, F3, 0) (dual of [6, 6, 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(3248, 370, F3, 2, 65) (dual of [(370, 2), 492, 66]-NRT-code) [i]OOA Folding
2Linear OOA(3248, 247, F3, 3, 65) (dual of [(247, 3), 493, 66]-NRT-code) [i]
3Linear OOA(3248, 185, F3, 4, 65) (dual of [(185, 4), 492, 66]-NRT-code) [i]