Information on Result #1300916

Linear OA(4224, 4123, F4, 49) (dual of [4123, 3899, 50]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4222, 4119, F4, 49) (dual of [4119, 3897, 50]-code), using
    • construction X applied to Ce(48) ⊂ Ce(44) [i] based on
      1. linear OA(4217, 4096, F4, 49) (dual of [4096, 3879, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
      2. linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
      3. linear OA(45, 23, F4, 3) (dual of [23, 18, 4]-code or 23-cap in PG(4,4)), using
  2. linear OA(4222, 4121, F4, 48) (dual of [4121, 3899, 49]-code), using Gilbert–VarÅ¡amov bound and bm = 4222 > Vbs−1(k−1) = 6 302212 166129 893005 200987 750208 675589 055893 988523 805583 516310 338686 909701 317464 679964 019709 213058 384677 538565 387376 420606 740459 379968 [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.