Information on Result #690882

Linear OA(962, 86, F9, 43) (dual of [86, 24, 44]-code), using construction XX applied to C1 = C([0,81]), C2 = C([1,85]), C3 = C1 + C2 = C([1,81]), and C∩ = C1 ∩ C2 = C([0,85]) based on
  1. linear OA(957, 80, F9, 41) (dual of [80, 23, 42]-code), using contraction [i] based on linear OA(9137, 160, F9, 83) (dual of [160, 23, 84]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,81], and minimum distance d ≥ |{−1,0,…,81}|+1 = 84 (BCH-bound) [i]
  2. linear OA(960, 80, F9, 42) (dual of [80, 20, 43]-code), using contraction [i] based on linear OA(9140, 160, F9, 85) (dual of [160, 20, 86]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,85], and designed minimum distance d ≥ |I|+1 = 86 [i]
  3. linear OA(961, 80, F9, 43) (dual of [80, 19, 44]-code), using contraction [i] based on linear OA(9141, 160, F9, 87) (dual of [160, 19, 88]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,85], and minimum distance d ≥ |{−1,0,…,85}|+1 = 88 (BCH-bound) [i]
  4. linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using contraction [i] based on linear OA(9136, 160, F9, 81) (dual of [160, 24, 82]-code), using the narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82 [i]
  5. linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
  6. linear OA(91, 5, F9, 1) (dual of [5, 4, 2]-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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(962, 43, F9, 2, 43) (dual of [(43, 2), 24, 44]-NRT-code) [i]OOA Folding