Information on Result #727325

Linear OA(3215, 97, F32, 9) (dual of [97, 82, 10]-code), using construction XX applied to C1 = C([92,6]), C2 = C([0,7]), C3 = C1 + C2 = C([0,6]), and C∩ = C1 ∩ C2 = C([92,7]) based on
  1. linear OA(3213, 93, F32, 8) (dual of [93, 80, 9]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,…,6}, and designed minimum distance d ≥ |I|+1 = 9 [i]
  2. linear OA(3213, 93, F32, 8) (dual of [93, 80, 9]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
  3. linear OA(3215, 93, F32, 9) (dual of [93, 78, 10]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,…,7}, and designed minimum distance d ≥ |I|+1 = 10 [i]
  4. linear OA(3211, 93, F32, 7) (dual of [93, 82, 8]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
  5. linear OA(320, 2, F32, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(320, 2, F32, 0) (dual of [2, 2, 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(3252, 1124, F32, 19) (dual of [1124, 1072, 20]-code) [i](u, u+v)-Construction
2Linear OA(3253, 1127, F32, 19) (dual of [1127, 1074, 20]-code) [i]
3Linear OA(3270, 32868, F32, 19) (dual of [32868, 32798, 20]-code) [i]
4Linear OA(3271, 32873, F32, 19) (dual of [32873, 32802, 20]-code) [i]
5Linear OA(3288, 1048677, F32, 19) (dual of [1048677, 1048589, 20]-code) [i]
6Linear OA(3289, 1048683, F32, 19) (dual of [1048683, 1048594, 20]-code) [i]
7Linear OA(3250, 1124, F32, 18) (dual of [1124, 1074, 19]-code) [i]
8Linear OA(3251, 1127, F32, 18) (dual of [1127, 1076, 19]-code) [i]
9Linear OA(3267, 32868, F32, 18) (dual of [32868, 32801, 19]-code) [i]
10Linear OA(3268, 32872, F32, 18) (dual of [32872, 32804, 19]-code) [i]
11Linear OA(3284, 1048677, F32, 18) (dual of [1048677, 1048593, 19]-code) [i]
12Linear OA(3285, 1048682, F32, 18) (dual of [1048682, 1048597, 19]-code) [i]
13Linear OOA(3215, 97, F32, 2, 9) (dual of [(97, 2), 179, 10]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
14Digital (6, 15, 97)-net over F32 [i]