Information on Result #727320

Linear OA(3210, 97, F32, 6) (dual of [97, 87, 7]-code), using construction XX applied to C1 = C([92,3]), C2 = C([0,4]), C3 = C1 + C2 = C([0,3]), and C∩ = C1 ∩ C2 = C([92,4]) based on
  1. linear OA(328, 93, F32, 5) (dual of [93, 85, 6]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,1,2,3}, and designed minimum distance d ≥ |I|+1 = 6 [i]
  2. linear OA(328, 93, F32, 5) (dual of [93, 85, 6]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6 [i]
  3. linear OA(3210, 93, F32, 6) (dual of [93, 83, 7]-code), using the BCH-code C(I) with length 93 | 322−1, defining interval I = {−1,0,…,4}, and designed minimum distance d ≥ |I|+1 = 7 [i]
  4. linear OA(326, 93, F32, 4) (dual of [93, 87, 5]-code), using the expurgated narrow-sense BCH-code C(I) with length 93 | 322−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [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(3235, 1124, F32, 13) (dual of [1124, 1089, 14]-code) [i](u, u+v)-Construction
2Linear OA(3247, 32868, F32, 13) (dual of [32868, 32821, 14]-code) [i]
3Linear OA(3259, 1048677, F32, 13) (dual of [1048677, 1048618, 14]-code) [i]
4Linear OA(3233, 1124, F32, 12) (dual of [1124, 1091, 13]-code) [i]
5Linear OA(3244, 32868, F32, 12) (dual of [32868, 32824, 13]-code) [i]
6Linear OA(3255, 1048677, F32, 12) (dual of [1048677, 1048622, 13]-code) [i]
7Linear OOA(3210, 97, F32, 2, 6) (dual of [(97, 2), 184, 7]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
8Digital (4, 10, 97)-net over F32 [i]