Information on Result #678502

Linear OA(4256, 262228, F4, 35) (dual of [262228, 261972, 36]-code), using construction X applied to Ce(34) ⊂ Ce(25) based on
  1. linear OA(4235, 262144, F4, 35) (dual of [262144, 261909, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-code), using
    • 1 times truncation [i] based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
      • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]

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(4256, 131114, F4, 2, 35) (dual of [(131114, 2), 261972, 36]-NRT-code) [i]OOA Folding
2Linear OOA(4256, 87409, F4, 3, 35) (dual of [(87409, 3), 261971, 36]-NRT-code) [i]
3Linear OOA(4256, 15425, F4, 35, 35) (dual of [(15425, 35), 539619, 36]-NRT-code) [i]OOA Folding and Stacking with Additional Row