Information on Result #683716

Linear OA(5143, 650, F5, 43) (dual of [650, 507, 44]-code), using construction XX applied to Ce(42) ⊂ Ce(37) ⊂ Ce(36) 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(5119, 625, F5, 38) (dual of [625, 506, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  3. 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]
  4. linear OA(57, 24, F5, 4) (dual of [24, 17, 5]-code), using
    • the primitive expurgated narrow-sense BCH-code C(I) with length 24 = 52−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
  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.