Information on Result #1095230
Linear OOA(2243, 4194301, F2, 5, 12) (dual of [(4194301, 5), 20971262, 13]-NRT-code), using OOA 2-folding based on linear OOA(2243, 8388602, F2, 3, 12) (dual of [(8388602, 3), 25165563, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2243, large, F2, 3, 12), using
- trace code [i] based on linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- trace code [i] based on linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-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(2248, 4194302, F2, 5, 12) (dual of [(4194302, 5), 20971262, 13]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(2244, 4194301, F2, 5, 12) (dual of [(4194301, 5), 20971261, 13]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(2245, 4194301, F2, 5, 12) (dual of [(4194301, 5), 20971260, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(2246, 4194301, F2, 5, 12) (dual of [(4194301, 5), 20971259, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(2247, 4194301, F2, 5, 12) (dual of [(4194301, 5), 20971258, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(2249, 4194304, F2, 5, 12) (dual of [(4194304, 5), 20971271, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(2250, 4194306, F2, 5, 12) (dual of [(4194306, 5), 20971280, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(2251, 4194307, F2, 5, 12) (dual of [(4194307, 5), 20971284, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(2252, 4194310, F2, 5, 12) (dual of [(4194310, 5), 20971298, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(2253, 4194312, F2, 5, 12) (dual of [(4194312, 5), 20971307, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(2254, 4194316, F2, 5, 12) (dual of [(4194316, 5), 20971326, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(2255, 4194322, F2, 5, 12) (dual of [(4194322, 5), 20971355, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(2256, 4194324, F2, 5, 12) (dual of [(4194324, 5), 20971364, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(2257, 4194327, F2, 5, 12) (dual of [(4194327, 5), 20971378, 13]-NRT-code) | [i] | ||
| 15 | Linear OOA(2258, 4194337, F2, 5, 12) (dual of [(4194337, 5), 20971427, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(2259, 4194343, F2, 5, 12) (dual of [(4194343, 5), 20971456, 13]-NRT-code) | [i] | ||