Information on Result #1680547
Linear OOA(2119, 29111, F2, 7, 14) (dual of [(29111, 7), 203658, 15]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2119, 29111, F2, 4, 14) (dual of [(29111, 4), 116325, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2119, 32767, F2, 4, 14) (dual of [(32767, 4), 130949, 15]-NRT-code), using
- OOA 4-folding [i] based on linear OA(2119, 131068, F2, 14) (dual of [131068, 130949, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(2119, 131071, F2, 14) (dual of [131071, 130952, 15]-code), using
- 1 times truncation [i] based on linear OA(2120, 131072, F2, 15) (dual of [131072, 130952, 16]-code), using
- an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 131071 = 217−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 1 times truncation [i] based on linear OA(2120, 131072, F2, 15) (dual of [131072, 130952, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2119, 131071, F2, 14) (dual of [131071, 130952, 15]-code), using
- OOA 4-folding [i] based on linear OA(2119, 131068, F2, 14) (dual of [131068, 130949, 15]-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(2119, 29110, F2, 8, 14) (dual of [(29110, 8), 232761, 15]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2119, 29110, F2, 21, 14) (dual of [(29110, 21), 611191, 15]-NRT-code) | [i] | ||