Information on Result #1051737
Linear OOA(2164, 2097151, F2, 4, 15) (dual of [(2097151, 4), 8388440, 16]-NRT-code), using OOA 2-folding based on linear OOA(2164, 4194302, F2, 2, 15) (dual of [(4194302, 2), 8388440, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2162, 4194301, F2, 2, 15) (dual of [(4194301, 2), 8388440, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(2162, large, F2, 15) (dual of [large, large−162, 16]-code), using
- OOA 2-folding [i] based on linear OA(2162, 8388602, F2, 15) (dual of [8388602, 8388440, 16]-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(2164, 2097151, F2, 4, 14) (dual of [(2097151, 4), 8388440, 15]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2168, 2097152, F2, 4, 15) (dual of [(2097152, 4), 8388440, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(2165, 2097151, F2, 4, 15) (dual of [(2097151, 4), 8388439, 16]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(2166, 2097151, F2, 4, 15) (dual of [(2097151, 4), 8388438, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(2167, 2097151, F2, 4, 15) (dual of [(2097151, 4), 8388437, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(2187, 2097278, F2, 4, 15) (dual of [(2097278, 4), 8388925, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2190, 2097405, F2, 4, 15) (dual of [(2097405, 4), 8389430, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(2193, 2097661, F2, 4, 15) (dual of [(2097661, 4), 8390451, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(2196, 2098173, F2, 4, 15) (dual of [(2098173, 4), 8392496, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(2199, 2099198, F2, 4, 15) (dual of [(2099198, 4), 8396593, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(2202, 2101245, F2, 4, 15) (dual of [(2101245, 4), 8404778, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(2205, 2105342, F2, 4, 15) (dual of [(2105342, 4), 8421163, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(2208, 2113533, F2, 4, 15) (dual of [(2113533, 4), 8453924, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(2211, 2129917, F2, 4, 15) (dual of [(2129917, 4), 8519457, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(2214, 2162685, F2, 4, 15) (dual of [(2162685, 4), 8650526, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(2217, 2228222, F2, 4, 15) (dual of [(2228222, 4), 8912671, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(2220, 2359293, F2, 4, 15) (dual of [(2359293, 4), 9436952, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(2223, 2621438, F2, 4, 15) (dual of [(2621438, 4), 10485529, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(2226, 3145725, F2, 4, 15) (dual of [(3145725, 4), 12582674, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(2229, 4194301, F2, 4, 15) (dual of [(4194301, 4), 16776975, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(2232, 4194302, F2, 4, 15) (dual of [(4194302, 4), 16776976, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(2190, 2097406, F2, 4, 15) (dual of [(2097406, 4), 8389434, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(2193, 2097662, F2, 4, 15) (dual of [(2097662, 4), 8390455, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(2196, 2098174, F2, 4, 15) (dual of [(2098174, 4), 8392500, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(2202, 2101246, F2, 4, 15) (dual of [(2101246, 4), 8404782, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(2208, 2113534, F2, 4, 15) (dual of [(2113534, 4), 8453928, 16]-NRT-code) | [i] | ||