Information on Result #1631842
Linear OOA(2126, 3770, F2, 5, 18) (dual of [(3770, 5), 18724, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2126, 3770, F2, 4, 18) (dual of [(3770, 4), 14954, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2126, 4095, F2, 4, 18) (dual of [(4095, 4), 16254, 19]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2126, 16380, F2, 18) (dual of [16380, 16254, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(2126, 16383, F2, 18) (dual of [16383, 16257, 19]-code), using
- 1 times truncation [i] based on linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 16383 = 214−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 1 times truncation [i] based on linear OA(2127, 16384, F2, 19) (dual of [16384, 16257, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(2126, 16383, F2, 18) (dual of [16383, 16257, 19]-code), using
- OOA 4-folding [i] based on linear OA(2126, 16380, F2, 18) (dual of [16380, 16254, 19]-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(2126, 1884, F2, 25, 18) (dual of [(1884, 25), 46974, 19]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |