Information on Result #683406

Linear OA(571, 641, F5, 21) (dual of [641, 570, 22]-code), using construction XX applied to C([0,10]) ⊂ C([0,8]) ⊂ C([0,7]) based on
  1. 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]
  2. 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]
  3. linear OA(549, 626, F5, 15) (dual of [626, 577, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 626 | 58−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
  4. linear OA(54, 13, F5, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,5)), using
  5. linear OA(51, 2, F5, 1) (dual of [2, 1, 2]-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.