Information on Result #1665114
Linear OOA(2155, 1809792, F2, 6, 13) (dual of [(1809792, 6), 10858597, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2155, 1809792, F2, 4, 13) (dual of [(1809792, 4), 7239013, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2155, 2097171, F2, 4, 13) (dual of [(2097171, 4), 8388529, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2155, 4194342, F2, 2, 13) (dual of [(4194342, 2), 8388529, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2155, 4194343, F2, 2, 13) (dual of [(4194343, 2), 8388531, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(216, 42, F2, 2, 6) (dual of [(42, 2), 68, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 16, 42)-net over F2, using
- linear OOA(2139, 4194301, F2, 2, 13) (dual of [(4194301, 2), 8388463, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 8388609 | 246−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2139, large, F2, 13) (dual of [large, large−139, 14]-code), using
- OOA 2-folding [i] based on linear OA(2139, 8388602, F2, 13) (dual of [8388602, 8388463, 14]-code), using
- linear OOA(216, 42, F2, 2, 6) (dual of [(42, 2), 68, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2155, 4194343, F2, 2, 13) (dual of [(4194343, 2), 8388531, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2155, 4194342, F2, 2, 13) (dual of [(4194342, 2), 8388529, 14]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(2155, 1809791, F2, 7, 13) (dual of [(1809791, 7), 12668382, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2155, 1809791, F2, 8, 13) (dual of [(1809791, 8), 14478173, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2155, 1809791, F2, 18, 13) (dual of [(1809791, 18), 32576083, 14]-NRT-code) | [i] | ||