Information on Result #2226287
Linear OA(2174, 16416, F2, 24) (dual of [16416, 16242, 25]-code), using 1 times truncation based on linear OA(2175, 16417, F2, 25) (dual of [16417, 16242, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- 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]
- 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]
- 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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2174, 8208, F2, 2, 24) (dual of [(8208, 2), 16242, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2174, 5472, F2, 3, 24) (dual of [(5472, 3), 16242, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(2174, 4104, F2, 4, 24) (dual of [(4104, 4), 16242, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(2174, 3283, F2, 5, 24) (dual of [(3283, 5), 16241, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(2174, 2736, F2, 6, 24) (dual of [(2736, 6), 16242, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(2174, 2345, F2, 7, 24) (dual of [(2345, 7), 16241, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(2174, 2052, F2, 8, 24) (dual of [(2052, 8), 16242, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(2174, 1368, F2, 24, 24) (dual of [(1368, 24), 32658, 25]-NRT-code) | [i] | OA Folding and Stacking | |