Information on Result #683394

Linear OA(593, 658, F5, 25) (dual of [658, 565, 26]-code), using construction XX applied to C([0,12]) ⊂ C([0,10]) ⊂ C([0,8]) based on
  1. linear OA(581, 626, F5, 25) (dual of [626, 545, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(565, 626, F5, 21) (dual of [626, 561, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
  3. linear OA(557, 626, F5, 17) (dual of [626, 569, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
  4. linear OA(54, 24, F5, 3) (dual of [24, 20, 4]-code or 24-cap in PG(3,5)), using
  5. linear OA(54, 8, F5, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,5)), 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.