Information on Result #678492

Linear OA(4206, 262208, F4, 29) (dual of [262208, 262002, 30]-code), using construction X applied to Ce(28) ⊂ Ce(20) based on
  1. linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(4136, 262144, F4, 21) (dual of [262144, 262008, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(4206, 135648, F4, 2, 29) (dual of [(135648, 2), 271090, 30]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(4206, 135648, F4, 3, 29) (dual of [(135648, 3), 406738, 30]-NRT-code) [i]
3Digital (177, 206, 135648)-net over F4 [i]
4Linear OOA(4206, 18729, F4, 29, 29) (dual of [(18729, 29), 542935, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row