Information on Result #690010

Linear OA(9131, 771, F9, 42) (dual of [771, 640, 43]-code), using construction X applied to C([0,21]) ⊂ C([0,15]) based on
  1. linear OA(9115, 730, F9, 43) (dual of [730, 615, 44]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
  2. linear OA(985, 730, F9, 31) (dual of [730, 645, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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.