Information on Result #2223758
Linear OA(2112, 65535, F2, 14) (dual of [65535, 65423, 15]-code), using 1 times truncation based on linear OA(2113, 65536, F2, 15) (dual of [65536, 65423, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 65535 = 216−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
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(2112, 32767, F2, 2, 14) (dual of [(32767, 2), 65422, 15]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2112, 21845, F2, 3, 14) (dual of [(21845, 3), 65423, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(2112, 16383, F2, 4, 14) (dual of [(16383, 4), 65420, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(2112, 13107, F2, 5, 14) (dual of [(13107, 5), 65423, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(2112, 10922, F2, 6, 14) (dual of [(10922, 6), 65420, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(2112, 9362, F2, 7, 14) (dual of [(9362, 7), 65422, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(2112, 9362, F2, 8, 14) (dual of [(9362, 8), 74784, 15]-NRT-code) | [i] | OA Folding and Stacking | |
| 8 | Linear OOA(2112, 9362, F2, 14, 14) (dual of [(9362, 14), 130956, 15]-NRT-code) | [i] | ||