Information on Result #1324242

Linear OA(4251, 65627, F4, 38) (dual of [65627, 65376, 39]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4248, 65621, F4, 38) (dual of [65621, 65373, 39]-code), using
    • construction X applied to Ce(37) ⊂ Ce(26) [i] based on
      1. linear OA(4225, 65536, F4, 38) (dual of [65536, 65311, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
      2. linear OA(4161, 65536, F4, 27) (dual of [65536, 65375, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
      3. linear OA(423, 85, F4, 10) (dual of [85, 62, 11]-code), using
  2. linear OA(4248, 65624, F4, 37) (dual of [65624, 65376, 38]-code), using Gilbert–VarÅ¡amov bound and bm = 4248 > Vbs−1(k−1) = 103695 110977 410676 791185 579183 780442 075990 027315 653842 785331 519337 480348 865753 079052 767129 297242 209135 373802 931522 640730 047556 181688 865071 976333 039318 [i]
  3. linear OA(40, 3, F4, 0) (dual of [3, 3, 1]-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

None.