Information on Result #1299755

Linear OA(441, 72, F4, 19) (dual of [72, 31, 20]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(440, 70, F4, 19) (dual of [70, 30, 20]-code), using
    • construction X applied to Ce(20) ⊂ Ce(14) [i] based on
      1. linear OA(437, 64, F4, 21) (dual of [64, 27, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
      2. linear OA(434, 64, F4, 15) (dual of [64, 30, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
      3. linear OA(43, 6, F4, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
  2. linear OA(440, 71, F4, 18) (dual of [71, 31, 19]-code), using Gilbert–VarÅ¡amov bound and bm = 440 > Vbs−1(k−1) = 1 135475 756164 015046 487940 [i]
  3. linear OA(40, 1, F4, 0) (dual of [1, 1, 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.

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

Other Results with Identical Parameters

None.

Depending Results

None.