Information on Result #713753

Linear OA(7101, 397, F7, 32) (dual of [397, 296, 33]-code), using construction XX applied to C1 = C([334,17]), C2 = C([0,23]), C3 = C1 + C2 = C([0,17]), and C∩ = C1 ∩ C2 = C([334,23]) based on
  1. linear OA(767, 342, F7, 26) (dual of [342, 275, 27]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,17}, and designed minimum distance d ≥ |I|+1 = 27 [i]
  2. linear OA(761, 342, F7, 24) (dual of [342, 281, 25]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,23], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(782, 342, F7, 32) (dual of [342, 260, 33]-code), using the primitive BCH-code C(I) with length 342 = 73−1, defining interval I = {−8,−7,…,23}, and designed minimum distance d ≥ |I|+1 = 33 [i]
  4. linear OA(746, 342, F7, 18) (dual of [342, 296, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 342 = 73−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
  5. linear OA(712, 33, F7, 7) (dual of [33, 21, 8]-code), using
  6. linear OA(77, 22, F7, 5) (dual of [22, 15, 6]-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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(7101, 198, F7, 2, 32) (dual of [(198, 2), 295, 33]-NRT-code) [i]OOA Folding
2Linear OOA(7101, 132, F7, 3, 32) (dual of [(132, 3), 295, 33]-NRT-code) [i]