Information on Result #718184

Linear OA(982, 114, F9, 49) (dual of [114, 32, 50]-code), using construction XX applied to C1 = C([71,30]), C2 = C([0,39]), C3 = C1 + C2 = C([0,30]), and C∩ = C1 ∩ C2 = C([71,39]) based on
  1. linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,30}, and designed minimum distance d ≥ |I|+1 = 41 [i]
  2. linear OA(956, 80, F9, 40) (dual of [80, 24, 41]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(964, 80, F9, 49) (dual of [80, 16, 50]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−9,−8,…,39}, and designed minimum distance d ≥ |I|+1 = 50 [i]
  4. linear OA(946, 80, F9, 31) (dual of [80, 34, 32]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,30], and designed minimum distance d ≥ |I|+1 = 32 [i]
  5. linear OA(99, 17, F9, 8) (dual of [17, 8, 9]-code), using
  6. linear OA(99, 17, F9, 8) (dual of [17, 8, 9]-code) (see above)

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 OA(981, 113, F9, 48) (dual of [113, 32, 49]-code) [i]Truncation
2Linear OA(980, 112, F9, 47) (dual of [112, 32, 48]-code) [i]
3Linear OA(979, 111, F9, 46) (dual of [111, 32, 47]-code) [i]
4Linear OOA(982, 57, F9, 2, 49) (dual of [(57, 2), 32, 50]-NRT-code) [i]OOA Folding