Information on Result #1301074

Linear OA(4241, 65625, F4, 36) (dual of [65625, 65384, 37]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4239, 65621, F4, 36) (dual of [65621, 65382, 37]-code), using
    • construction X applied to Ce(36) ⊂ Ce(25) [i] based on
      1. linear OA(4217, 65536, F4, 37) (dual of [65536, 65319, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
      2. linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(4239, 65623, F4, 35) (dual of [65623, 65384, 36]-code), using Gilbert–VarÅ¡amov bound and bm = 4239 > Vbs−1(k−1) = 3372 884204 626407 525351 638353 134438 610542 707573 581279 572274 227744 998520 741545 348659 911187 773635 745912 998980 600222 803902 733591 924562 389784 199332 [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.