Information on Result #678500

Linear OA(4170, 262208, F4, 23) (dual of [262208, 262038, 24]-code), using construction X applied to Ce(22) ⊂ Ce(14) based on
  1. linear OA(4154, 262144, F4, 23) (dual of [262144, 261990, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(4100, 262144, F4, 15) (dual of [262144, 262044, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
    • an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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(4170, 202528, F4, 2, 23) (dual of [(202528, 2), 404886, 24]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4170, 202528, F4, 3, 23) (dual of [(202528, 3), 607414, 24]-NRT-code) [i]
3Digital (147, 170, 202528)-net over F4 [i]
4Linear OOA(4170, 23837, F4, 23, 23) (dual of [(23837, 23), 548081, 24]-NRT-code) [i]OOA Folding and Stacking with Additional Row