Information on Result #835912
Linear OOA(5111, 4194301, F5, 2, 14) (dual of [(4194301, 2), 8388491, 15]-NRT-code), using OOA 2-folding based on linear OA(5111, 8388602, F5, 14) (dual of [8388602, 8388491, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(5113, 4194302, F5, 2, 14) (dual of [(4194302, 2), 8388491, 15]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5115, 4194303, F5, 2, 14) (dual of [(4194303, 2), 8388491, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(5117, 4194304, F5, 2, 14) (dual of [(4194304, 2), 8388491, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(5112, 4194301, F5, 2, 14) (dual of [(4194301, 2), 8388490, 15]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(5118, 4194307, F5, 2, 14) (dual of [(4194307, 2), 8388496, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(5119, 4194311, F5, 2, 14) (dual of [(4194311, 2), 8388503, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(5120, 4194313, F5, 2, 14) (dual of [(4194313, 2), 8388506, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(5121, 4194326, F5, 2, 14) (dual of [(4194326, 2), 8388531, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(5124, 4194332, F5, 2, 14) (dual of [(4194332, 2), 8388540, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(5125, 4194353, F5, 2, 14) (dual of [(4194353, 2), 8388581, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(5127, 4194365, F5, 2, 14) (dual of [(4194365, 2), 8388603, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(5128, 4194366, F5, 2, 14) (dual of [(4194366, 2), 8388604, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(5129, 4194379, F5, 2, 14) (dual of [(4194379, 2), 8388629, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(5130, 4194405, F5, 2, 14) (dual of [(4194405, 2), 8388680, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(5128, 4194376, F5, 2, 14) (dual of [(4194376, 2), 8388624, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(5129, 4194401, F5, 2, 14) (dual of [(4194401, 2), 8388673, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(5130, 4194426, F5, 2, 14) (dual of [(4194426, 2), 8388722, 15]-NRT-code) | [i] | ||
| 18 | Linear OOA(5111, 4194301, F5, 3, 14) (dual of [(4194301, 3), 12582792, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 19 | Digital (97, 111, 4194301)-net over F5 | [i] | ||