Information on Result #672648

Linear OA(2175, 16417, F2, 25) (dual of [16417, 16242, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,10]) based on
  1. linear OA(2169, 16385, F2, 25) (dual of [16385, 16216, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  2. linear OA(2141, 16385, F2, 21) (dual of [16385, 16244, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 228−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(2174, 16416, F2, 24) (dual of [16416, 16242, 25]-code) [i]Truncation
2Linear OOA(2175, 8208, F2, 2, 25) (dual of [(8208, 2), 16241, 26]-NRT-code) [i]OOA Folding
3Linear OOA(2175, 5472, F2, 3, 25) (dual of [(5472, 3), 16241, 26]-NRT-code) [i]
4Linear OOA(2175, 4104, F2, 4, 25) (dual of [(4104, 4), 16241, 26]-NRT-code) [i]
5Linear OOA(2175, 3283, F2, 5, 25) (dual of [(3283, 5), 16240, 26]-NRT-code) [i]
6Linear OOA(2175, 2736, F2, 6, 25) (dual of [(2736, 6), 16241, 26]-NRT-code) [i]
7Linear OOA(2175, 2345, F2, 7, 25) (dual of [(2345, 7), 16240, 26]-NRT-code) [i]
8Linear OOA(2175, 2052, F2, 8, 25) (dual of [(2052, 8), 16241, 26]-NRT-code) [i]
9Linear OOA(2175, 1368, F2, 25, 25) (dual of [(1368, 25), 34025, 26]-NRT-code) [i]OOA Folding and Stacking with Additional Row