Information on Result #835834
Linear OOA(5101, 4194301, F5, 2, 13) (dual of [(4194301, 2), 8388501, 14]-NRT-code), using OOA 2-folding based on linear OA(5101, 8388602, F5, 13) (dual of [8388602, 8388501, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(5103, 4194302, F5, 2, 13) (dual of [(4194302, 2), 8388501, 14]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5105, 4194303, F5, 2, 13) (dual of [(4194303, 2), 8388501, 14]-NRT-code) | [i] | ||
| 3 | Linear OOA(5102, 4194301, F5, 2, 13) (dual of [(4194301, 2), 8388500, 14]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(5107, 4194307, F5, 2, 13) (dual of [(4194307, 2), 8388507, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(5108, 4194311, F5, 2, 13) (dual of [(4194311, 2), 8388514, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(5109, 4194315, F5, 2, 13) (dual of [(4194315, 2), 8388521, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(5110, 4194328, F5, 2, 13) (dual of [(4194328, 2), 8388546, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(5111, 4194334, F5, 2, 13) (dual of [(4194334, 2), 8388557, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(5113, 4194353, F5, 2, 13) (dual of [(4194353, 2), 8388593, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(5114, 4194363, F5, 2, 13) (dual of [(4194363, 2), 8388612, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(5115, 4194365, F5, 2, 13) (dual of [(4194365, 2), 8388615, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(5116, 4194367, F5, 2, 13) (dual of [(4194367, 2), 8388618, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(5117, 4194457, F5, 2, 13) (dual of [(4194457, 2), 8388797, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(5118, 4194613, F5, 2, 13) (dual of [(4194613, 2), 8389108, 14]-NRT-code) | [i] | ||
| 15 | Linear OOA(5119, 4194616, F5, 2, 13) (dual of [(4194616, 2), 8389113, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(5120, 4194617, F5, 2, 13) (dual of [(4194617, 2), 8389114, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(5121, 4195082, F5, 2, 13) (dual of [(4195082, 2), 8390043, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(5101, 4194301, F5, 3, 13) (dual of [(4194301, 3), 12582802, 14]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 19 | Digital (88, 101, 4194301)-net over F5 | [i] | ||