Information on Result #1300497

Linear OA(4175, 262202, F4, 24) (dual of [262202, 262027, 25]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4173, 262199, F4, 24) (dual of [262199, 262026, 25]-code), using
    • construction X applied to Ce(24) ⊂ Ce(17) [i] based on
      1. linear OA(4163, 262144, F4, 25) (dual of [262144, 261981, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
      2. linear OA(4118, 262144, F4, 18) (dual of [262144, 262026, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
      3. linear OA(410, 55, F4, 5) (dual of [55, 45, 6]-code), using
  2. linear OA(4173, 262200, F4, 22) (dual of [262200, 262027, 23]-code), using Gilbert–VarÅ¡amov bound and bm = 4173 > Vbs−1(k−1) = 126 507956 497038 697258 267962 873165 919984 879169 774972 540603 866525 748390 801767 428346 381946 821492 584116 308858 [i]
  3. linear OA(41, 2, F4, 1) (dual of [2, 1, 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(4175, 131101, F4, 2, 24) (dual of [(131101, 2), 262027, 25]-NRT-code) [i]OOA Folding