Information on Result #894208
Linear OOA(2173, 4196348, F2, 2, 13) (dual of [(4196348, 2), 8392523, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(234, 2047, F2, 2, 6) (dual of [(2047, 2), 4060, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-net over F2, using
- 1 times m-reduction [i] based on digital (28, 35, 2047)-net over F2, using
- extracting embedded OOA [i] based on digital (28, 34, 2047)-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
Mode: Constructive and 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(2173, 4196348, F2, 2, 12) (dual of [(4196348, 2), 8392523, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2175, 4196349, F2, 2, 13) (dual of [(4196349, 2), 8392523, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2174, 4196348, F2, 2, 13) (dual of [(4196348, 2), 8392522, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2173, 2098174, F2, 4, 13) (dual of [(2098174, 4), 8392523, 14]-NRT-code) | [i] | OOA Folding | |