Information on Result #719696

Linear OA(961, 734, F9, 23) (dual of [734, 673, 24]-code), using construction XX applied to C1 = C([727,20]), C2 = C([0,21]), C3 = C1 + C2 = C([0,20]), and C∩ = C1 ∩ C2 = C([727,21]) based on
  1. linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,20}, and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(958, 728, F9, 22) (dual of [728, 670, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(961, 728, F9, 23) (dual of [728, 667, 24]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,21}, and designed minimum distance d ≥ |I|+1 = 24 [i]
  4. linear OA(955, 728, F9, 21) (dual of [728, 673, 22]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
  5. linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-code), using
  6. linear OA(90, 3, F9, 0) (dual of [3, 3, 1]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(964, 753, F9, 23) (dual of [753, 689, 24]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(965, 785, F9, 23) (dual of [785, 720, 24]-code) [i]
3Linear OA(966, 844, F9, 23) (dual of [844, 778, 24]-code) [i]
4Linear OA(967, 924, F9, 23) (dual of [924, 857, 24]-code) [i]
5Linear OA(968, 1019, F9, 23) (dual of [1019, 951, 24]-code) [i]
6Linear OOA(961, 367, F9, 2, 23) (dual of [(367, 2), 673, 24]-NRT-code) [i]OOA Folding