Information on Result #1301052

Linear OA(4238, 16434, F4, 43) (dual of [16434, 16196, 44]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4235, 16429, F4, 43) (dual of [16429, 16194, 44]-code), using
    • construction X applied to Ce(42) ⊂ Ce(36) [i] based on
      1. linear OA(4225, 16384, F4, 43) (dual of [16384, 16159, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
      2. linear OA(4190, 16384, F4, 37) (dual of [16384, 16194, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 16383 = 47−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
      3. linear OA(410, 45, F4, 5) (dual of [45, 35, 6]-code), using
  2. linear OA(4235, 16431, F4, 41) (dual of [16431, 16196, 42]-code), using Gilbert–VarÅ¡amov bound and bm = 4235 > Vbs−1(k−1) = 60 038077 487718 780668 998372 517987 252523 701681 915175 224420 364632 511395 301786 334421 208413 207748 873337 003853 462990 283400 487987 745739 142246 763103 [i]
  3. linear OA(41, 3, F4, 1) (dual of [3, 2, 2]-code), using

Mode: 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(4238, 8217, F4, 2, 43) (dual of [(8217, 2), 16196, 44]-NRT-code) [i]OOA Folding