Information on Result #707212

Linear OA(4115, 355, F4, 34) (dual of [355, 240, 35]-code), using construction X applied to C([313,5]) ⊂ C([317,5]) based on
  1. linear OA(4111, 341, F4, 34) (dual of [341, 230, 35]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,5}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(4101, 341, F4, 30) (dual of [341, 240, 31]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−24,−23,…,5}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  3. linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-cap in PG(3,4)), 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(4116, 356, F4, 34) (dual of [356, 240, 35]-code) [i]Code Embedding in Larger Space
2Linear OOA(4115, 177, F4, 2, 34) (dual of [(177, 2), 239, 35]-NRT-code) [i]OOA Folding