Information on Result #719226

Linear OA(940, 734, F9, 15) (dual of [734, 694, 16]-code), using construction XX applied to C1 = C([727,12]), C2 = C([0,13]), C3 = C1 + C2 = C([0,12]), and C∩ = C1 ∩ C2 = C([727,13]) based on
  1. linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(937, 728, F9, 14) (dual of [728, 691, 15]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(940, 728, F9, 15) (dual of [728, 688, 16]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,13}, and designed minimum distance d ≥ |I|+1 = 16 [i]
  4. linear OA(934, 728, F9, 13) (dual of [728, 694, 14]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(943, 761, F9, 15) (dual of [761, 718, 16]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(944, 810, F9, 15) (dual of [810, 766, 16]-code) [i]
3Linear OA(945, 904, F9, 15) (dual of [904, 859, 16]-code) [i]
4Linear OA(946, 1043, F9, 15) (dual of [1043, 997, 16]-code) [i]
5Linear OA(947, 1215, F9, 15) (dual of [1215, 1168, 16]-code) [i]
6Linear OOA(940, 367, F9, 2, 15) (dual of [(367, 2), 694, 16]-NRT-code) [i]OOA Folding