Information on Result #705946

Linear OA(497, 267, F4, 33) (dual of [267, 170, 34]-code), using construction X applied to C([69,101]) ⊂ C([73,101]) based on
  1. 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]
  2. linear OA(485, 255, F4, 29) (dual of [255, 170, 30]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {73,74,…,101}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-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 OOA(497, 133, F4, 2, 33) (dual of [(133, 2), 169, 34]-NRT-code) [i]OOA Folding
2Linear OOA(497, 89, F4, 3, 33) (dual of [(89, 3), 170, 34]-NRT-code) [i]