Information on Result #1597722
Linear OOA(2228, 1280, F2, 4, 38) (dual of [(1280, 4), 4892, 39]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2228, 1280, F2, 3, 38) (dual of [(1280, 3), 3612, 39]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2228, 1365, F2, 3, 38) (dual of [(1365, 3), 3867, 39]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2228, 4095, F2, 38) (dual of [4095, 3867, 39]-code), using
- 1 times truncation [i] based on linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using
- an extension Ce(38) of the primitive narrow-sense BCH-code C(I) with length 4095 = 212−1, defining interval I = [1,38], and designed minimum distance d ≥ |I|+1 = 39 [i]
- 1 times truncation [i] based on linear OA(2229, 4096, F2, 39) (dual of [4096, 3867, 40]-code), using
- OOA 3-folding [i] based on linear OA(2228, 4095, F2, 38) (dual of [4095, 3867, 39]-code), using
Mode: 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(2228, 640, F2, 7, 38) (dual of [(640, 7), 4252, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(2228, 640, F2, 8, 38) (dual of [(640, 8), 4892, 39]-NRT-code) | [i] | ||