Information on Result #1300438

Linear OA(4172, 254, F4, 79) (dual of [254, 82, 80]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(4169, 250, F4, 79) (dual of [250, 81, 80]-code), using
    • 7 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(4169, 251, F4, 76) (dual of [251, 82, 77]-code), using Gilbert–VarÅ¡amov bound and bm = 4169 > Vbs−1(k−1) = 82118 599580 460916 395368 329071 747352 868387 827472 281559 421187 519347 776182 800780 652783 428288 187777 243576 [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.