Information on Result #2226723
Linear OA(2198, 65568, F2, 24) (dual of [65568, 65370, 25]-code), using 1 times truncation based on linear OA(2199, 65569, F2, 25) (dual of [65569, 65370, 26]-code), using
- construction X applied to C([0,12]) ⊂ C([0,10]) [i] based on
- linear OA(2193, 65537, F2, 25) (dual of [65537, 65344, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(2161, 65537, F2, 21) (dual of [65537, 65376, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, 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(2198, 32784, F2, 2, 24) (dual of [(32784, 2), 65370, 25]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2198, 21856, F2, 3, 24) (dual of [(21856, 3), 65370, 25]-NRT-code) | [i] | ||
| 3 | Linear OOA(2198, 16392, F2, 4, 24) (dual of [(16392, 4), 65370, 25]-NRT-code) | [i] | ||
| 4 | Linear OOA(2198, 13113, F2, 5, 24) (dual of [(13113, 5), 65367, 25]-NRT-code) | [i] | ||
| 5 | Linear OOA(2198, 10928, F2, 6, 24) (dual of [(10928, 6), 65370, 25]-NRT-code) | [i] | ||
| 6 | Linear OOA(2198, 9366, F2, 7, 24) (dual of [(9366, 7), 65364, 25]-NRT-code) | [i] | ||
| 7 | Linear OOA(2198, 8196, F2, 8, 24) (dual of [(8196, 8), 65370, 25]-NRT-code) | [i] | ||
| 8 | Linear OOA(2198, 5464, F2, 24, 24) (dual of [(5464, 24), 130938, 25]-NRT-code) | [i] | OA Folding and Stacking | |