Information on Result #836162
Linear OOA(5131, 4194301, F5, 2, 17) (dual of [(4194301, 2), 8388471, 18]-NRT-code), using OOA 2-folding based on linear OA(5131, 8388602, F5, 17) (dual of [8388602, 8388471, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(5131, large, F5, 17) (dual of [large, large−131, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [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(5133, 4194302, F5, 2, 17) (dual of [(4194302, 2), 8388471, 18]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(5135, 4194303, F5, 2, 17) (dual of [(4194303, 2), 8388471, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(5137, 4194304, F5, 2, 17) (dual of [(4194304, 2), 8388471, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(5132, 4194301, F5, 2, 17) (dual of [(4194301, 2), 8388470, 18]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(5139, 4194307, F5, 2, 17) (dual of [(4194307, 2), 8388475, 18]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(5140, 4194311, F5, 2, 17) (dual of [(4194311, 2), 8388482, 18]-NRT-code) | [i] | ||
| 7 | Linear OOA(5141, 4194313, F5, 2, 17) (dual of [(4194313, 2), 8388485, 18]-NRT-code) | [i] | ||
| 8 | Linear OOA(5142, 4194317, F5, 2, 17) (dual of [(4194317, 2), 8388492, 18]-NRT-code) | [i] | ||
| 9 | Linear OOA(5143, 4194319, F5, 2, 17) (dual of [(4194319, 2), 8388495, 18]-NRT-code) | [i] | ||
| 10 | Linear OOA(5144, 4194321, F5, 2, 17) (dual of [(4194321, 2), 8388498, 18]-NRT-code) | [i] | ||
| 11 | Linear OOA(5145, 4194322, F5, 2, 17) (dual of [(4194322, 2), 8388499, 18]-NRT-code) | [i] | ||
| 12 | Linear OOA(5146, 4194327, F5, 2, 17) (dual of [(4194327, 2), 8388508, 18]-NRT-code) | [i] | ||
| 13 | Linear OOA(5147, 4194353, F5, 2, 17) (dual of [(4194353, 2), 8388559, 18]-NRT-code) | [i] | ||
| 14 | Linear OOA(5149, 4194355, F5, 2, 17) (dual of [(4194355, 2), 8388561, 18]-NRT-code) | [i] | ||
| 15 | Linear OOA(5150, 4194366, F5, 2, 17) (dual of [(4194366, 2), 8388582, 18]-NRT-code) | [i] | ||
| 16 | Linear OOA(5131, 4167792, F5, 3, 17) (dual of [(4167792, 3), 12503245, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 17 | Digital (114, 131, 4167792)-net over F5 | [i] | ||