Information on Result #706678

Linear OA(4102, 264, F4, 36) (dual of [264, 162, 37]-code), using construction XX applied to C1 = C([69,103]), C2 = C([68,101]), C3 = C1 + C2 = C([69,101]), and C∩ = C1 ∩ C2 = C([68,103]) based on
  1. linear OA(499, 255, F4, 35) (dual of [255, 156, 36]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,103}, and designed minimum distance d ≥ |I|+1 = 36 [i]
  2. linear OA(495, 255, F4, 34) (dual of [255, 160, 35]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,101}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  3. linear OA(4101, 255, F4, 36) (dual of [255, 154, 37]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {68,69,…,103}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(493, 255, F4, 33) (dual of [255, 162, 34]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,101}, and designed minimum distance d ≥ |I|+1 = 34 [i]
  5. linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
  6. linear OA(40, 2, F4, 0) (dual of [2, 2, 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 OA(4103, 265, F4, 36) (dual of [265, 162, 37]-code) [i]Code Embedding in Larger Space
2Linear OOA(4102, 132, F4, 2, 36) (dual of [(132, 2), 162, 37]-NRT-code) [i]OOA Folding
3Linear OOA(4102, 88, F4, 3, 36) (dual of [(88, 3), 162, 37]-NRT-code) [i]