Information on Result #729790

Linear OA(6425, 319, F64, 14) (dual of [319, 294, 15]-code), using construction XX applied to C1 = C([314,11]), C2 = C([0,12]), C3 = C1 + C2 = C([0,11]), and C∩ = C1 ∩ C2 = C([314,12]) based on
  1. linear OA(6423, 315, F64, 13) (dual of [315, 292, 14]-code), using the BCH-code C(I) with length 315 | 642−1, defining interval I = {−1,0,…,11}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  2. linear OA(6423, 315, F64, 13) (dual of [315, 292, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(6425, 315, F64, 14) (dual of [315, 290, 15]-code), using the BCH-code C(I) with length 315 | 642−1, defining interval I = {−1,0,…,12}, and designed minimum distance d ≥ |I|+1 = 15 [i]
  4. linear OA(6421, 315, F64, 12) (dual of [315, 294, 13]-code), using the expurgated narrow-sense BCH-code C(I) with length 315 | 642−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
  5. linear OA(640, 2, F64, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(640, 2, F64, 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(6482, 4417, F64, 29) (dual of [4417, 4335, 30]-code) [i](u, u+v)-Construction
2Linear OA(6480, 4417, F64, 28) (dual of [4417, 4337, 29]-code) [i]
3Linear OOA(6425, 319, F64, 2, 14) (dual of [(319, 2), 613, 15]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
4Linear OOA(6425, 319, F64, 3, 14) (dual of [(319, 3), 932, 15]-NRT-code) [i]
5Digital (11, 25, 319)-net over F64 [i]