Information on Result #1300146

Linear OA(4130, 262195, F4, 18) (dual of [262195, 262065, 19]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4125, 262187, F4, 18) (dual of [262187, 262062, 19]-code), using
    • construction X applied to Ce(17) ⊂ Ce(12) [i] based on
      1. 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]
      2. linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
      3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
  2. linear OA(4125, 262190, F4, 15) (dual of [262190, 262065, 16]-code), using Gilbert–VarÅ¡amov bound and bm = 4125 > Vbs−1(k−1) = 397876 920393 013190 941482 367891 450948 271102 147173 473839 851905 387187 622896 [i]
  3. linear OA(42, 5, F4, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), 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(4130, 131097, F4, 2, 18) (dual of [(131097, 2), 262064, 19]-NRT-code) [i]OOA Folding