Information on Result #1300893

Linear OA(4222, 65590, F4, 35) (dual of [65590, 65368, 36]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4219, 65586, F4, 35) (dual of [65586, 65367, 36]-code), using
    • construction X applied to Ce(34) ⊂ Ce(28) [i] based on
      1. linear OA(4209, 65536, F4, 35) (dual of [65536, 65327, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [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(410, 50, F4, 5) (dual of [50, 40, 6]-code), using
  2. linear OA(4219, 65587, F4, 32) (dual of [65587, 65368, 33]-code), using Gilbert–VarÅ¡amov bound and bm = 4219 > Vbs−1(k−1) = 15626 851318 718413 843043 923031 458153 555473 975123 402401 836368 993923 342177 990630 488384 357243 655044 823030 076326 450333 152796 606576 269936 [i]
  3. linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), 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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(4222, 32795, F4, 2, 35) (dual of [(32795, 2), 65368, 36]-NRT-code) [i]OOA Folding