Information on Result #703462

Linear OA(3107, 263, F3, 33) (dual of [263, 156, 34]-code), using construction XX applied to C1 = C([91,121]), C2 = C([96,124]), C3 = C1 + C2 = C([96,121]), and C∩ = C1 ∩ C2 = C([91,124]) based on
  1. linear OA(391, 242, F3, 31) (dual of [242, 151, 32]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,121}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  2. linear OA(396, 242, F3, 29) (dual of [242, 146, 30]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {96,97,…,124}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(3101, 242, F3, 34) (dual of [242, 141, 35]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {91,92,…,124}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  4. linear OA(386, 242, F3, 26) (dual of [242, 156, 27]-code), using the primitive BCH-code C(I) with length 242 = 35−1, defining interval I = {96,97,…,121}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  5. linear OA(35, 10, F3, 4) (dual of [10, 5, 5]-code), using
  6. linear OA(31, 11, F3, 1) (dual of [11, 10, 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(3107, 131, F3, 2, 33) (dual of [(131, 2), 155, 34]-NRT-code) [i]OOA Folding
2Linear OOA(3107, 87, F3, 3, 33) (dual of [(87, 3), 154, 34]-NRT-code) [i]