Information on Result #1301704

Linear OA(5112, 140, F5, 65) (dual of [140, 28, 66]-code), using construction X with VarÅ¡amov bound based on
  1. linear OA(5106, 133, F5, 65) (dual of [133, 27, 66]-code), using
    • construction X applied to C([0,32]) ⊂ C([0,31]) [i] based on
      1. linear OA(5105, 126, F5, 65) (dual of [126, 21, 66]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,32], and minimum distance d ≥ |{−32,−31,…,32}|+1 = 66 (BCH-bound) [i]
      2. linear OA(599, 126, F5, 63) (dual of [126, 27, 64]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,31], and minimum distance d ≥ |{−31,−30,…,31}|+1 = 64 (BCH-bound) [i]
      3. linear OA(51, 7, F5, 1) (dual of [7, 6, 2]-code), using
  2. linear OA(5106, 134, F5, 59) (dual of [134, 28, 60]-code), using Gilbert–VarÅ¡amov bound and bm = 5106 > Vbs−1(k−1) = 26 140694 453444 240554 209870 329955 465662 182050 924510 960226 805933 778559 427125 [i]
  3. linear OA(55, 6, F5, 5) (dual of [6, 1, 6]-code or 6-arc in PG(4,5)), 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.

Other Results with Identical Parameters

None.

Depending Results

None.