Information on Result #690579

Linear OA(9148, 808, F9, 44) (dual of [808, 660, 45]-code), using construction X applied to Ce(43) ⊂ Ce(24) based on
  1. linear OA(9118, 729, F9, 44) (dual of [729, 611, 45]-code), using an extension Ce(43) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
  2. linear OA(967, 729, F9, 25) (dual of [729, 662, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(930, 79, F9, 18) (dual of [79, 49, 19]-code), using
    • 3 times truncation [i] based on linear OA(933, 82, F9, 21) (dual of [82, 49, 22]-code), using
      • the expurgated narrow-sense BCH-code C(I) with length 82 | 94−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(9148, 404, F9, 2, 44) (dual of [(404, 2), 660, 45]-NRT-code) [i]OOA Folding