Information on Result #1299782

Linear OA(451, 81, F4, 24) (dual of [81, 30, 25]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(445, 72, F4, 24) (dual of [72, 27, 25]-code), using
    • construction X applied to C({1,3,5,7,9,11,13,22}) ⊂ C({1,3,5,7,9,11,13}) [i] based on
      1. linear OA(444, 65, F4, 24) (dual of [65, 21, 25]-code), using the cyclic code C(A) with length 65 | 46−1, defining set A = {1,3,5,7,9,11,13,22}, and minimum distance d ≥ |{−23,−21,−19,…,23}|+1 = 25 (BCH-bound) [i]
      2. linear OA(438, 65, F4, 22) (dual of [65, 27, 23]-code), using the cyclic code C(A) with length 65 | 46−1, defining set A = {1,3,5,7,9,11,13}, and minimum distance d ≥ |{−21,−19,−17,…,21}|+1 = 23 (BCH-bound) [i]
      3. linear OA(41, 7, F4, 1) (dual of [7, 6, 2]-code), using
  2. linear OA(445, 75, F4, 20) (dual of [75, 30, 21]-code), using Gilbert–VarÅ¡amov bound and bm = 445 > Vbs−1(k−1) = 280 365431 610755 265629 857360 [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

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.