Information on Result #876587
Linear OOA(8165, 4194301, F81, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using OOA 2-folding based on linear OA(8165, 8388602, F81, 17) (dual of [8388602, 8388537, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
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(8167, 4194302, F81, 2, 17) (dual of [(4194302, 2), 8388537, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(8169, 4194303, F81, 2, 17) (dual of [(4194303, 2), 8388537, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(8171, 4194304, F81, 2, 17) (dual of [(4194304, 2), 8388537, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(8166, 4194301, F81, 2, 17) (dual of [(4194301, 2), 8388536, 18]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(9130, 8388602, F9, 2, 17) (dual of [(8388602, 2), 16777074, 18]-NRT-code) | [i] | Trace Code for OOAs | |
| 6 | Linear OOA(8173, 4194383, F81, 2, 17) (dual of [(4194383, 2), 8388693, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(8174, 4194401, F81, 2, 17) (dual of [(4194401, 2), 8388728, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(8175, 4194417, F81, 2, 17) (dual of [(4194417, 2), 8388759, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(8177, 4194465, F81, 2, 17) (dual of [(4194465, 2), 8388853, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(8178, 4194483, F81, 2, 17) (dual of [(4194483, 2), 8388888, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(8179, 4194501, F81, 2, 17) (dual of [(4194501, 2), 8388923, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(8180, 4197582, F81, 2, 17) (dual of [(4197582, 2), 8395084, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(8181, 4197584, F81, 2, 17) (dual of [(4197584, 2), 8395087, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(8182, 4197585, F81, 2, 17) (dual of [(4197585, 2), 8395088, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(8179, 4194547, F81, 2, 17) (dual of [(4194547, 2), 8389015, 18]-NRT-code) | [i] | ||