Information on Result #718041

Linear OA(960, 94, F9, 36) (dual of [94, 34, 37]-code), using construction XX applied to C1 = C([76,29]), C2 = C([0,31]), C3 = C1 + C2 = C([0,29]), and C∩ = C1 ∩ C2 = C([76,31]) based on
  1. linear OA(953, 80, F9, 34) (dual of [80, 27, 35]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,29}, and designed minimum distance d ≥ |I|+1 = 35 [i]
  2. linear OA(948, 80, F9, 32) (dual of [80, 32, 33]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,31], and designed minimum distance d ≥ |I|+1 = 33 [i]
  3. linear OA(956, 80, F9, 36) (dual of [80, 24, 37]-code), using the primitive BCH-code C(I) with length 80 = 92−1, defining interval I = {−4,−3,…,31}, and designed minimum distance d ≥ |I|+1 = 37 [i]
  4. linear OA(945, 80, F9, 30) (dual of [80, 35, 31]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,29], and designed minimum distance d ≥ |I|+1 = 31 [i]
  5. linear OA(93, 10, F9, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,9) or 10-cap in PG(2,9)), using
  6. linear OA(91, 4, F9, 1) (dual of [4, 3, 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 OA(3207, 261, F3, 73) (dual of [261, 54, 74]-code) [i]Concatenation of Two Codes
2Linear OOA(960, 47, F9, 2, 36) (dual of [(47, 2), 34, 37]-NRT-code) [i]OOA Folding