Information on Result #673258
Linear OA(2227, 522, F2, 55) (dual of [522, 295, 56]-code), using construction X applied to Ce(54) ⊂ Ce(52) based on
- linear OA(2226, 512, F2, 55) (dual of [512, 286, 56]-code), using an extension Ce(54) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(2217, 512, F2, 53) (dual of [512, 295, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(21, 10, F2, 1) (dual of [10, 9, 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 OA(2226, 521, F2, 54) (dual of [521, 295, 55]-code) | [i] | Truncation | |
| 2 | Linear OOA(2227, 261, F2, 2, 55) (dual of [(261, 2), 295, 56]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(2227, 174, F2, 3, 55) (dual of [(174, 3), 295, 56]-NRT-code) | [i] | ||
| 4 | Linear OOA(2227, 130, F2, 4, 55) (dual of [(130, 4), 293, 56]-NRT-code) | [i] | ||
| 5 | Linear OOA(2227, 104, F2, 5, 55) (dual of [(104, 5), 293, 56]-NRT-code) | [i] | ||