Information on Result #2226697
Linear OA(2216, 1034, F2, 44) (dual of [1034, 818, 45]-code), using 1 times truncation based on linear OA(2217, 1035, F2, 45) (dual of [1035, 818, 46]-code), using
- construction X applied to Ce(44) ⊂ Ce(42) [i] based on
- linear OA(2216, 1024, F2, 45) (dual of [1024, 808, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(2206, 1024, F2, 43) (dual of [1024, 818, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(21, 11, F2, 1) (dual of [11, 10, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(2216, 517, F2, 2, 44) (dual of [(517, 2), 818, 45]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2216, 344, F2, 3, 44) (dual of [(344, 3), 816, 45]-NRT-code) | [i] | ||
| 3 | Linear OOA(2216, 258, F2, 4, 44) (dual of [(258, 4), 816, 45]-NRT-code) | [i] | ||
| 4 | Linear OOA(2216, 206, F2, 5, 44) (dual of [(206, 5), 814, 45]-NRT-code) | [i] | ||
| 5 | Linear OOA(2216, 172, F2, 6, 44) (dual of [(172, 6), 816, 45]-NRT-code) | [i] | ||
| 6 | Linear OOA(2216, 147, F2, 7, 44) (dual of [(147, 7), 813, 45]-NRT-code) | [i] | ||