Information on Result #683851

Linear OA(542, 643, F5, 12) (dual of [643, 601, 13]-code), using construction XX applied to Ce(11) ⊂ Ce(7) ⊂ Ce(6) based on
  1. linear OA(537, 625, F5, 12) (dual of [625, 588, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
  2. linear OA(525, 625, F5, 8) (dual of [625, 600, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
  3. linear OA(521, 625, F5, 7) (dual of [625, 604, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  4. linear OA(54, 17, F5, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,5)), using
  5. linear OA(50, 1, F5, 0) (dual of [1, 1, 1]-code), 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.