Information on Result #672562

Linear OA(2217, 32801, F2, 29) (dual of [32801, 32584, 30]-code), using construction X applied to C([0,14]) ⊂ C([0,12]) based on
  1. linear OA(2211, 32769, F2, 29) (dual of [32769, 32558, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
  2. linear OA(2181, 32769, F2, 25) (dual of [32769, 32588, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  3. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2216, 32800, F2, 28) (dual of [32800, 32584, 29]-code) [i]Truncation
2Linear OOA(2217, 16400, F2, 2, 29) (dual of [(16400, 2), 32583, 30]-NRT-code) [i]OOA Folding
3Linear OOA(2217, 10933, F2, 3, 29) (dual of [(10933, 3), 32582, 30]-NRT-code) [i]
4Linear OOA(2217, 8200, F2, 4, 29) (dual of [(8200, 4), 32583, 30]-NRT-code) [i]
5Linear OOA(2217, 6560, F2, 5, 29) (dual of [(6560, 5), 32583, 30]-NRT-code) [i]
6Linear OOA(2217, 5466, F2, 6, 29) (dual of [(5466, 6), 32579, 30]-NRT-code) [i]
7Linear OOA(2217, 4685, F2, 7, 29) (dual of [(4685, 7), 32578, 30]-NRT-code) [i]
8Linear OOA(2217, 4100, F2, 8, 29) (dual of [(4100, 8), 32583, 30]-NRT-code) [i]
9Linear OOA(2217, 2342, F2, 29, 29) (dual of [(2342, 29), 67701, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row