Information on Result #1299739

Linear OA(440, 68, F4, 20) (dual of [68, 28, 21]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(436, 63, F4, 20) (dual of [63, 27, 21]-code), using
    • the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 21 [i]
  2. linear OA(436, 64, F4, 16) (dual of [64, 28, 17]-code), using Gilbert–VarÅ¡amov bound and bm = 436 > Vbs−1(k−1) = 1949 504329 660069 767664 [i]
  3. linear OA(43, 4, F4, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,4) or 4-cap in PG(2,4)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.