Information on Result #1301405

Linear OA(565, 130, F5, 31) (dual of [130, 65, 32]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(561, 125, F5, 31) (dual of [125, 64, 32]-code), using
    • an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 124 = 53−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(561, 126, F5, 27) (dual of [126, 65, 28]-code), using Gilbert–VarÅ¡amov bound and bm = 561 > Vbs−1(k−1) = 2 408804 093883 982644 142650 864544 361226 833621 [i]
  3. linear OA(53, 4, F5, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,5) or 4-cap in PG(2,5)), 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.