Information on Result #1301183

Linear OA(4258, 65627, F4, 39) (dual of [65627, 65369, 40]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4255, 65621, F4, 39) (dual of [65621, 65366, 40]-code), using
    • construction X applied to Ce(38) ⊂ Ce(28) [i] based on
      1. linear OA(4233, 65536, F4, 39) (dual of [65536, 65303, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
      2. linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
      3. 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(4255, 65624, F4, 38) (dual of [65624, 65369, 39]-code), using Gilbert–VarÅ¡amov bound and bm = 4255 > Vbs−1(k−1) = 551 439391 946993 188061 319114 843697 459128 863574 478067 553410 985533 821592 874084 486563 363812 738490 714652 130058 527539 607865 963279 694779 885213 303035 272198 902524 [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.