Information on Result #621729

Linear OA(2124, 135, F2, 59) (dual of [135, 11, 60]-code), using construction X applied to C3 ⊂ C2 based on
  1. linear OA(2120, 127, F2, 63) (dual of [127, 7, 64]-code), using code C3 for u = 7 by de Boer and Brouwer [i]
  2. linear OA(2113, 127, F2, 55) (dual of [127, 14, 56]-code), using code C2 for u = 7 by de Boer and Brouwer [i]
  3. linear OA(24, 8, F2, 3) (dual of [8, 4, 4]-code or 8-cap in PG(3,2)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(2124, 45, F2, 3, 59) (dual of [(45, 3), 11, 60]-NRT-code) [i]OOA Folding
2Linear OOA(2124, 27, F2, 5, 59) (dual of [(27, 5), 11, 60]-NRT-code) [i]