Information on Result #894218
Linear OOA(2203, 6291452, F2, 2, 13) (dual of [(6291452, 2), 12582701, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(264, 2097151, F2, 2, 6) (dual of [(2097151, 2), 4194238, 7]-NRT-code), 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(2203, 6291452, F2, 2, 12) (dual of [(6291452, 2), 12582701, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2205, 6291453, F2, 2, 13) (dual of [(6291453, 2), 12582701, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2204, 6291452, F2, 2, 13) (dual of [(6291452, 2), 12582700, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2203, 5089534, F2, 3, 13) (dual of [(5089534, 3), 15268399, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Linear OOA(2203, 5089534, F2, 4, 13) (dual of [(5089534, 4), 20357933, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(2203, 5089534, F2, 5, 13) (dual of [(5089534, 5), 25447467, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(2203, 5089534, F2, 6, 13) (dual of [(5089534, 6), 30537001, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(2203, 5089534, F2, 7, 13) (dual of [(5089534, 7), 35626535, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(2203, 5089534, F2, 8, 13) (dual of [(5089534, 8), 40716069, 14]-NRT-code) | [i] | ||
| 10 | Digital (190, 203, 5089534)-net over F2 | [i] | ||
| 11 | Linear OOA(2203, 3145726, F2, 3, 13) (dual of [(3145726, 3), 9436975, 14]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(2203, 3145726, F2, 4, 13) (dual of [(3145726, 4), 12582701, 14]-NRT-code) | [i] | ||