Information on Result #836078
Linear OOA(5121, 4194301, F5, 2, 16) (dual of [(4194301, 2), 8388481, 17]-NRT-code), using OOA 2-folding based on linear OA(5121, 8388602, F5, 16) (dual of [8388602, 8388481, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(5121, 4194301, F5, 2, 15) (dual of [(4194301, 2), 8388481, 16]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(5123, 4194302, F5, 2, 16) (dual of [(4194302, 2), 8388481, 17]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(5125, 4194303, F5, 2, 16) (dual of [(4194303, 2), 8388481, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(5127, 4194304, F5, 2, 16) (dual of [(4194304, 2), 8388481, 17]-NRT-code) | [i] | ||
| 5 | Linear OOA(5122, 4194301, F5, 2, 16) (dual of [(4194301, 2), 8388480, 17]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(5129, 4194307, F5, 2, 16) (dual of [(4194307, 2), 8388485, 17]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(5130, 4194311, F5, 2, 16) (dual of [(4194311, 2), 8388492, 17]-NRT-code) | [i] | ||
| 8 | Linear OOA(5131, 4194313, F5, 2, 16) (dual of [(4194313, 2), 8388495, 17]-NRT-code) | [i] | ||
| 9 | Linear OOA(5132, 4194317, F5, 2, 16) (dual of [(4194317, 2), 8388502, 17]-NRT-code) | [i] | ||
| 10 | Linear OOA(5133, 4194319, F5, 2, 16) (dual of [(4194319, 2), 8388505, 17]-NRT-code) | [i] | ||
| 11 | Linear OOA(5134, 4194321, F5, 2, 16) (dual of [(4194321, 2), 8388508, 17]-NRT-code) | [i] | ||
| 12 | Linear OOA(5135, 4194322, F5, 2, 16) (dual of [(4194322, 2), 8388509, 17]-NRT-code) | [i] | ||
| 13 | Linear OOA(5136, 4194327, F5, 2, 16) (dual of [(4194327, 2), 8388518, 17]-NRT-code) | [i] | ||
| 14 | Linear OOA(5137, 4194353, F5, 2, 16) (dual of [(4194353, 2), 8388569, 17]-NRT-code) | [i] | ||
| 15 | Linear OOA(5139, 4194355, F5, 2, 16) (dual of [(4194355, 2), 8388571, 17]-NRT-code) | [i] | ||
| 16 | Linear OOA(5140, 4194366, F5, 2, 16) (dual of [(4194366, 2), 8388592, 17]-NRT-code) | [i] | ||
| 17 | Linear OOA(5141, 4194367, F5, 2, 16) (dual of [(4194367, 2), 8388593, 17]-NRT-code) | [i] | ||
| 18 | Linear OOA(5142, 4194368, F5, 2, 16) (dual of [(4194368, 2), 8388594, 17]-NRT-code) | [i] | ||
| 19 | Linear OOA(5143, 4194405, F5, 2, 16) (dual of [(4194405, 2), 8388667, 17]-NRT-code) | [i] | ||
| 20 | Linear OOA(5145, 4194457, F5, 2, 16) (dual of [(4194457, 2), 8388769, 17]-NRT-code) | [i] | ||
| 21 | Linear OOA(5146, 4194617, F5, 2, 16) (dual of [(4194617, 2), 8389088, 17]-NRT-code) | [i] | ||
| 22 | Linear OOA(5147, 4194618, F5, 2, 16) (dual of [(4194618, 2), 8389089, 17]-NRT-code) | [i] | ||
| 23 | Linear OOA(5148, 4194620, F5, 2, 16) (dual of [(4194620, 2), 8389092, 17]-NRT-code) | [i] | ||
| 24 | Linear OOA(5150, 4194623, F5, 2, 16) (dual of [(4194623, 2), 8389096, 17]-NRT-code) | [i] | ||
| 25 | Linear OOA(5121, 3544941, F5, 3, 16) (dual of [(3544941, 3), 10634702, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 26 | Digital (105, 121, 3544941)-net over F5 | [i] | ||