Information on Result #1301139

Linear OA(4250, 262232, F4, 34) (dual of [262232, 261982, 35]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4247, 262228, F4, 34) (dual of [262228, 261981, 35]-code), using
    • construction X applied to Ce(33) ⊂ Ce(24) [i] based on
      1. linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
      2. 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]
      3. linear OA(421, 84, F4, 8) (dual of [84, 63, 9]-code), using
        • 1 times truncation [i] based on linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
          • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  2. linear OA(4247, 262229, F4, 31) (dual of [262229, 261982, 32]-code), using Gilbert–VarÅ¡amov bound and bm = 4247 > Vbs−1(k−1) = 2 816083 628261 505344 241177 546895 823246 340959 401834 344353 408167 698641 137816 733987 151063 921841 516718 932342 893243 298058 167154 127756 299029 816666 540912 [i]
  3. linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-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

None.