Information on Result #721325

Linear OA(1623, 89, F16, 13) (dual of [89, 66, 14]-code), using construction XX applied to C1 = C([12,23]), C2 = C([11,22]), C3 = C1 + C2 = C([12,22]), and C∩ = C1 ∩ C2 = C([11,23]) based on
  1. linear OA(1621, 85, F16, 12) (dual of [85, 64, 13]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,23}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(1621, 85, F16, 12) (dual of [85, 64, 13]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {11,12,…,22}, and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(1623, 85, F16, 13) (dual of [85, 62, 14]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {11,12,…,23}, and designed minimum distance d ≥ |I|+1 = 14 [i]
  4. linear OA(1619, 85, F16, 11) (dual of [85, 66, 12]-code), using the BCH-code C(I) with length 85 | 162−1, defining interval I = {12,13,…,22}, and designed minimum distance d ≥ |I|+1 = 12 [i]
  5. linear OA(160, 2, F16, 0) (dual of [2, 2, 1]-code), using
  6. linear OA(160, 2, F16, 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(1624, 98, F16, 13) (dual of [98, 74, 14]-code) [i]VarÅ¡amov–Edel Lengthening