Information on Result #613738
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
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(5122, large, F5, 16) (dual of [large, large−122, 17]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(5123, large, F5, 16) (dual of [large, large−123, 17]-code) | [i] | ||
| 3 | Linear OA(5124, large, F5, 16) (dual of [large, large−124, 17]-code) | [i] | ||
| 4 | Linear OA(5125, large, F5, 16) (dual of [large, large−125, 17]-code) | [i] | ||
| 5 | Linear OA(5126, large, F5, 16) (dual of [large, large−126, 17]-code) | [i] | ||
| 6 | Linear OA(5127, large, F5, 16) (dual of [large, large−127, 17]-code) | [i] | ||
| 7 | Linear OA(5128, large, F5, 16) (dual of [large, large−128, 17]-code) | [i] | ||
| 8 | Linear OA(5129, large, F5, 16) (dual of [large, large−129, 17]-code) | [i] | ||
| 9 | Linear OA(5130, large, F5, 16) (dual of [large, large−130, 17]-code) | [i] | ||
| 10 | Linear OA(5132, large, F5, 16) (dual of [large, large−132, 17]-code) | [i] | ||
| 11 | Linear OA(5133, large, F5, 16) (dual of [large, large−133, 17]-code) | [i] | ||
| 12 | Linear OA(5134, large, F5, 16) (dual of [large, large−134, 17]-code) | [i] | ||
| 13 | Linear OA(5135, large, F5, 16) (dual of [large, large−135, 17]-code) | [i] | ||
| 14 | Linear OA(5136, large, F5, 16) (dual of [large, large−136, 17]-code) | [i] | ||
| 15 | Linear OA(5137, large, F5, 16) (dual of [large, large−137, 17]-code) | [i] | ||
| 16 | Linear OA(5138, large, F5, 16) (dual of [large, large−138, 17]-code) | [i] | ||
| 17 | Linear OA(5139, large, F5, 16) (dual of [large, large−139, 17]-code) | [i] | ||
| 18 | Linear OA(5140, large, F5, 16) (dual of [large, large−140, 17]-code) | [i] | ||
| 19 | Linear OA(5142, large, F5, 16) (dual of [large, large−142, 17]-code) | [i] | ||
| 20 | Linear OA(5143, large, F5, 16) (dual of [large, large−143, 17]-code) | [i] | ||
| 21 | Linear OA(5144, large, F5, 16) (dual of [large, large−144, 17]-code) | [i] | ||
| 22 | Linear OA(5145, large, F5, 16) (dual of [large, large−145, 17]-code) | [i] | ||
| 23 | Linear OA(5146, large, F5, 16) (dual of [large, large−146, 17]-code) | [i] | ||
| 24 | Linear OA(5147, large, F5, 16) (dual of [large, large−147, 17]-code) | [i] | ||
| 25 | Linear OA(5148, large, F5, 16) (dual of [large, large−148, 17]-code) | [i] | ||
| 26 | Linear OA(5149, large, F5, 16) (dual of [large, large−149, 17]-code) | [i] | ||
| 27 | Linear OA(5150, large, F5, 16) (dual of [large, large−150, 17]-code) | [i] | ||
| 28 | Linear OOA(5121, 4194301, F5, 2, 16) (dual of [(4194301, 2), 8388481, 17]-NRT-code) | [i] | OOA Folding | |
| 29 | Linear OOA(5121, 2796201, F5, 3, 16) (dual of [(2796201, 3), 8388482, 17]-NRT-code) | [i] | ||
| 30 | Linear OOA(5121, 1048575, F5, 16, 16) (dual of [(1048575, 16), 16777079, 17]-NRT-code) | [i] | OA Folding and Stacking | |