Information on Result #613749
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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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 OA(5131, large, F5, 16) (dual of [large, large−131, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(5131, large, F5, 15) (dual of [large, large−131, 16]-code) | [i] | ||
| 3 | Linear OA(5131, large, F5, 14) (dual of [large, large−131, 15]-code) | [i] | ||
| 4 | Linear OA(5131, large, F5, 13) (dual of [large, large−131, 14]-code) | [i] | ||
| 5 | Linear OA(5131, large, F5, 12) (dual of [large, large−131, 13]-code) | [i] | ||
| 6 | Linear OA(5131, large, F5, 11) (dual of [large, large−131, 12]-code) | [i] | ||
| 7 | Linear OA(5131, large, F5, 10) (dual of [large, large−131, 11]-code) | [i] | ||
| 8 | Linear OA(5131, large, F5, 9) (dual of [large, large−131, 10]-code) | [i] | ||
| 9 | Linear OA(5131, large, F5, 8) (dual of [large, large−131, 9]-code) | [i] | ||
| 10 | Linear OA(5131, large, F5, 7) (dual of [large, large−131, 8]-code) | [i] | ||
| 11 | Linear OA(5131, large, F5, 6) (dual of [large, large−131, 7]-code) | [i] | ||
| 12 | Linear OA(5131, large, F5, 5) (dual of [large, large−131, 6]-code) | [i] | ||
| 13 | Linear OA(5131, large, F5, 4) (dual of [large, large−131, 5]-code) | [i] | ||
| 14 | Linear OA(5131, large, F5, 3) (dual of [large, large−131, 4]-code) | [i] | ||
| 15 | Linear OA(5132, large, F5, 17) (dual of [large, large−132, 18]-code) | [i] | Code Embedding in Larger Space | |
| 16 | Linear OA(5133, large, F5, 17) (dual of [large, large−133, 18]-code) | [i] | ||
| 17 | Linear OA(5134, large, F5, 17) (dual of [large, large−134, 18]-code) | [i] | ||
| 18 | Linear OA(5135, large, F5, 17) (dual of [large, large−135, 18]-code) | [i] | ||
| 19 | Linear OA(5136, large, F5, 17) (dual of [large, large−136, 18]-code) | [i] | ||
| 20 | Linear OA(5137, large, F5, 17) (dual of [large, large−137, 18]-code) | [i] | ||
| 21 | Linear OA(5138, large, F5, 17) (dual of [large, large−138, 18]-code) | [i] | ||
| 22 | Linear OA(5139, large, F5, 17) (dual of [large, large−139, 18]-code) | [i] | ||
| 23 | Linear OA(5140, large, F5, 17) (dual of [large, large−140, 18]-code) | [i] | ||
| 24 | Linear OA(5142, large, F5, 17) (dual of [large, large−142, 18]-code) | [i] | ||
| 25 | Linear OA(5143, large, F5, 17) (dual of [large, large−143, 18]-code) | [i] | ||
| 26 | Linear OA(5144, large, F5, 17) (dual of [large, large−144, 18]-code) | [i] | ||
| 27 | Linear OA(5145, large, F5, 17) (dual of [large, large−145, 18]-code) | [i] | ||
| 28 | Linear OA(5146, large, F5, 17) (dual of [large, large−146, 18]-code) | [i] | ||
| 29 | Linear OA(5147, large, F5, 17) (dual of [large, large−147, 18]-code) | [i] | ||
| 30 | Linear OA(5148, large, F5, 17) (dual of [large, large−148, 18]-code) | [i] | ||
| 31 | Linear OA(5149, large, F5, 17) (dual of [large, large−149, 18]-code) | [i] | ||
| 32 | Linear OA(5150, large, F5, 17) (dual of [large, large−150, 18]-code) | [i] | ||
| 33 | Linear OOA(5131, 4194301, F5, 2, 17) (dual of [(4194301, 2), 8388471, 18]-NRT-code) | [i] | OOA Folding | |
| 34 | Linear OOA(5131, 2796201, F5, 3, 17) (dual of [(2796201, 3), 8388472, 18]-NRT-code) | [i] | ||
| 35 | Linear OOA(5131, 1048575, F5, 17, 17) (dual of [(1048575, 17), 17825644, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |