Information on Result #1301181

Linear OA(4257, 65625, F4, 39) (dual of [65625, 65368, 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, 65623, F4, 38) (dual of [65623, 65368, 39]-code), using Gilbert–VarÅ¡amov bound and bm = 4255 > Vbs−1(k−1) = 551 128477 270919 975872 685226 900687 033324 704622 957405 442119 108540 795763 512551 542679 920272 944634 906718 520761 884688 495843 483102 444642 053340 345419 539778 294550 [i]
  3. linear OA(40, 2, F4, 0) (dual of [2, 2, 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.