Information on Result #1051511
Linear OOA(2141, 2097151, F2, 4, 13) (dual of [(2097151, 4), 8388463, 14]-NRT-code), using OOA 2-folding based on linear OOA(2141, 4194302, F2, 2, 13) (dual of [(4194302, 2), 8388463, 14]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on 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(2141, 2097151, F2, 4, 12) (dual of [(2097151, 4), 8388463, 13]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2142, 2097151, F2, 4, 13) (dual of [(2097151, 4), 8388462, 14]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2143, 2097151, F2, 4, 13) (dual of [(2097151, 4), 8388461, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(2144, 2097151, F2, 4, 13) (dual of [(2097151, 4), 8388460, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(2162, 2097278, F2, 4, 13) (dual of [(2097278, 4), 8388950, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(2175, 2099198, F2, 4, 13) (dual of [(2099198, 4), 8396617, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(2181, 2105342, F2, 4, 13) (dual of [(2105342, 4), 8421187, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(2193, 2228222, F2, 4, 13) (dual of [(2228222, 4), 8912695, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(2199, 2621438, F2, 4, 13) (dual of [(2621438, 4), 10485553, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(2208, 4194302, F2, 4, 13) (dual of [(4194302, 4), 16777000, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(2166, 2097405, F2, 4, 13) (dual of [(2097405, 4), 8389454, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(2169, 2097661, F2, 4, 13) (dual of [(2097661, 4), 8390475, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(2172, 2098173, F2, 4, 13) (dual of [(2098173, 4), 8392520, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(2178, 2101245, F2, 4, 13) (dual of [(2101245, 4), 8404802, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(2184, 2113533, F2, 4, 13) (dual of [(2113533, 4), 8453948, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(2187, 2129917, F2, 4, 13) (dual of [(2129917, 4), 8519481, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(2190, 2162685, F2, 4, 13) (dual of [(2162685, 4), 8650550, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(2196, 2359293, F2, 4, 13) (dual of [(2359293, 4), 9436976, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(2202, 3145725, F2, 4, 13) (dual of [(3145725, 4), 12582698, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(2205, 4194301, F2, 4, 13) (dual of [(4194301, 4), 16776999, 14]-NRT-code) | [i] | ||