Information on Result #707208

Linear OA(4113, 346, F4, 34) (dual of [346, 233, 35]-code), using construction X applied to C([313,5]) ⊂ C([316,5]) 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(4106, 341, F4, 31) (dual of [341, 235, 32]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−25,−24,…,5}, and designed minimum distance d ≥ |I|+1 = 32 [i]
  3. linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), 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 OOA(4113, 173, F4, 2, 34) (dual of [(173, 2), 233, 35]-NRT-code) [i]OOA Folding