Information on Result #1665167
Linear OOA(2156, 1973593, F2, 6, 13) (dual of [(1973593, 6), 11841402, 14]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2156, 1973593, F2, 4, 13) (dual of [(1973593, 4), 7894216, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2156, 2097174, F2, 4, 13) (dual of [(2097174, 4), 8388540, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2156, 4194348, F2, 2, 13) (dual of [(4194348, 2), 8388540, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2156, 4194349, F2, 2, 13) (dual of [(4194349, 2), 8388542, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(217, 48, F2, 2, 6) (dual of [(48, 2), 79, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 17, 48)-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(217, 48, F2, 2, 6) (dual of [(48, 2), 79, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(2156, 4194349, F2, 2, 13) (dual of [(4194349, 2), 8388542, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(2156, 4194348, F2, 2, 13) (dual of [(4194348, 2), 8388540, 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(2156, 1973592, F2, 7, 13) (dual of [(1973592, 7), 13814988, 14]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 2 | Linear OOA(2156, 1973592, F2, 8, 13) (dual of [(1973592, 8), 15788580, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(2156, 1973592, F2, 18, 13) (dual of [(1973592, 18), 35524500, 14]-NRT-code) | [i] | ||