Information on Result #683725

Linear OA(5132, 643, F5, 41) (dual of [643, 511, 42]-code), using construction XX applied to Ce(40) ⊂ Ce(36) ⊂ Ce(35) based on
  1. linear OA(5127, 625, F5, 41) (dual of [625, 498, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(5115, 625, F5, 37) (dual of [625, 510, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [i]
  3. linear OA(5111, 625, F5, 36) (dual of [625, 514, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36 [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.