Information on Result #1300458

Linear OA(4174, 256, F4, 81) (dual of [256, 82, 82]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4171, 252, F4, 81) (dual of [252, 81, 82]-code), using
    • 5 times truncation [i] based on linear OA(4176, 257, F4, 86) (dual of [257, 81, 87]-code), using
      • the BCH-code C(I) with length 257 | 48−1, defining interval I = {1,4,7,…,256}, and designed minimum distance d ≥ |I|+1 = 87 [i]
  2. linear OA(4171, 253, F4, 78) (dual of [253, 82, 79]-code), using Gilbert–VarÅ¡amov bound and bm = 4171 > Vbs−1(k−1) = 8 023537 189998 432923 065135 094885 213837 763148 114145 632020 861805 929223 367022 859978 491960 332710 343509 772716 [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.

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

Other Results with Identical Parameters

None.

Depending Results

None.