Information on Result #683835

Linear OA(565, 650, F5, 18) (dual of [650, 585, 19]-code), using construction XX applied to Ce(17) ⊂ Ce(12) ⊂ Ce(11) based on
  1. linear OA(557, 625, F5, 18) (dual of [625, 568, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
  2. linear OA(541, 625, F5, 13) (dual of [625, 584, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 624 = 54−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. 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]
  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.