Information on Result #737284

Linear OA(4200, 16458, F4, 34) (dual of [16458, 16258, 35]-code), using construction X applied to Ce(33) ⊂ Ce(22) based on
  1. linear OA(4176, 16384, F4, 34) (dual of [16384, 16208, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(4120, 16384, F4, 23) (dual of [16384, 16264, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(424, 74, F4, 10) (dual of [74, 50, 11]-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(4200, 8229, F4, 2, 34) (dual of [(8229, 2), 16258, 35]-NRT-code) [i]OOA Folding
2Linear OOA(4200, 5486, F4, 3, 34) (dual of [(5486, 3), 16258, 35]-NRT-code) [i]