Information on Result #613832

Linear OA(565, 137, F5, 23) (dual of [137, 72, 24]-code), using construction X applied to C([0,11]) ⊂ C([1,11]) based on
  1. linear OA(555, 126, F5, 23) (dual of [126, 71, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  2. linear OA(554, 126, F5, 12) (dual of [126, 72, 13]-code), using the narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [1,11], and minimum distance d ≥ |{1,2,…,11}| + |{0,19,38,…,−43}∖{19,38,57,−50,−31,7,26,45,−62,−43}| = 13 (general Roos-bound) [i]
  3. linear OA(510, 11, F5, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,5)), 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.