Information on Result #683504

Linear OA(5139, 641, F5, 43) (dual of [641, 502, 44]-code), using construction X applied to Ce(42) ⊂ Ce(38) based on
  1. linear OA(5135, 625, F5, 43) (dual of [625, 490, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
  2. linear OA(5123, 625, F5, 39) (dual of [625, 502, 40]-code), using an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
  3. linear OA(54, 16, F5, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,5)), using

Mode: Constructive and 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.