Information on Result #690925

Linear OA(971, 102, F9, 39) (dual of [102, 31, 40]-code), using construction XX applied to C([0,36]) ⊂ C([0,29]) ⊂ C([0,28]) based on
  1. linear OA(964, 91, F9, 40) (dual of [91, 27, 41]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,36], and minimum distance d ≥ |{−3,−2,…,36}|+1 = 41 (BCH-bound) [i]
  2. linear OA(961, 91, F9, 32) (dual of [91, 30, 33]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,29], and minimum distance d ≥ |{−2,−1,…,29}|+1 = 33 (BCH-bound) [i]
  3. linear OA(958, 91, F9, 31) (dual of [91, 33, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 91 | 93−1, defining interval I = [0,28], and minimum distance d ≥ |{−2,−1,…,28}|+1 = 32 (BCH-bound) [i]
  4. linear OA(96, 10, F9, 6) (dual of [10, 4, 7]-code or 10-arc in PG(5,9)), using
  5. linear OA(90, 1, F9, 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.