Information on Result #1698816
Linear OOA(2144, 52428, F2, 8, 16) (dual of [(52428, 8), 419280, 17]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2144, 52428, F2, 5, 16) (dual of [(52428, 5), 261996, 17]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2144, 262140, F2, 16) (dual of [262140, 261996, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(2144, 262144, F2, 16) (dual of [262144, 262000, 17]-code), using
- 1 times truncation [i] based on linear OA(2145, 262145, F2, 17) (dual of [262145, 262000, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 262145 | 236−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(2145, 262145, F2, 17) (dual of [262145, 262000, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2144, 262144, F2, 16) (dual of [262144, 262000, 17]-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(2144, 52427, F2, 24, 16) (dual of [(52427, 24), 1258104, 17]-NRT-code) | [i] | OOA Stacking with Additional Row | |