Information on Result #720105

Linear OA(979, 734, F9, 30) (dual of [734, 655, 31]-code), using construction XX applied to C1 = C([727,27]), C2 = C([0,28]), C3 = C1 + C2 = C([0,27]), and C∩ = C1 ∩ C2 = C([727,28]) based on
  1. linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,27}, and designed minimum distance d ≥ |I|+1 = 30 [i]
  2. linear OA(976, 728, F9, 29) (dual of [728, 652, 30]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,28], and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(979, 728, F9, 30) (dual of [728, 649, 31]-code), using the primitive BCH-code C(I) with length 728 = 93−1, defining interval I = {−1,0,…,28}, and designed minimum distance d ≥ |I|+1 = 31 [i]
  4. linear OA(973, 728, F9, 28) (dual of [728, 655, 29]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 728 = 93−1, defining interval I = [0,27], and designed minimum distance d ≥ |I|+1 = 29 [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(981, 742, F9, 30) (dual of [742, 661, 31]-code) [i]VarÅ¡amov–Edel Lengthening
2Linear OA(982, 764, F9, 30) (dual of [764, 682, 31]-code) [i]
3Linear OA(983, 806, F9, 30) (dual of [806, 723, 31]-code) [i]
4Linear OA(984, 863, F9, 30) (dual of [863, 779, 31]-code) [i]
5Linear OOA(979, 367, F9, 2, 30) (dual of [(367, 2), 655, 31]-NRT-code) [i]OOA Folding