Information on Result #2224923
Linear OA(2134, 65568, F2, 16) (dual of [65568, 65434, 17]-code), using 1 times truncation based on linear OA(2135, 65569, F2, 17) (dual of [65569, 65434, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,6]) [i] based on
- linear OA(2129, 65537, F2, 17) (dual of [65537, 65408, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(297, 65537, F2, 13) (dual of [65537, 65440, 14]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 232−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(2134, 32784, F2, 2, 16) (dual of [(32784, 2), 65434, 17]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2134, 21856, F2, 3, 16) (dual of [(21856, 3), 65434, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(2134, 16392, F2, 4, 16) (dual of [(16392, 4), 65434, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2134, 13113, F2, 5, 16) (dual of [(13113, 5), 65431, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(2134, 10928, F2, 6, 16) (dual of [(10928, 6), 65434, 17]-NRT-code) | [i] | ||
| 6 | Linear OOA(2134, 9366, F2, 7, 16) (dual of [(9366, 7), 65428, 17]-NRT-code) | [i] | ||
| 7 | Linear OOA(2134, 8196, F2, 8, 16) (dual of [(8196, 8), 65434, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(2134, 8196, F2, 16, 16) (dual of [(8196, 16), 131002, 17]-NRT-code) | [i] | OA Folding and Stacking | |