Information on Result #690016

Linear OA(9113, 771, F9, 36) (dual of [771, 658, 37]-code), using construction X applied to C([0,18]) ⊂ C([0,12]) based on
  1. linear OA(997, 730, F9, 37) (dual of [730, 633, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (BCH-bound) [i]
  2. linear OA(967, 730, F9, 25) (dual of [730, 663, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  3. linear OA(916, 41, F9, 10) (dual of [41, 25, 11]-code), using
    • an extension Ce(9) of the narrow-sense BCH-code C(I) with length 40 | 92−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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.