Information on Result #662810

Linear OA(5139, 15655, F5, 25) (dual of [15655, 15516, 26]-code), using (u, u+v)-construction based on
  1. linear OA(519, 31, F5, 12) (dual of [31, 12, 13]-code), using
    • the expurgated narrow-sense BCH-code C(I) with length 31 | 53−1, defining interval I = [0,10], and minimum distance d ≥ |{−1,0,…,10}|+1 = 13 (BCH-bound) [i]
  2. linear OA(5120, 15624, F5, 25) (dual of [15624, 15504, 26]-code), using
    • 1 times truncation [i] based on linear OA(5121, 15625, F5, 26) (dual of [15625, 15504, 27]-code), using
      • an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 15624 = 56−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]

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.