Information on Result #616835
Linear OA(2581, large, F25, 17) (dual of [large, large−81, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound)
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(2581, large, F25, 16) (dual of [large, large−81, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2581, large, F25, 15) (dual of [large, large−81, 16]-code) | [i] | ||
| 3 | Linear OA(2581, large, F25, 14) (dual of [large, large−81, 15]-code) | [i] | ||
| 4 | Linear OA(2581, large, F25, 13) (dual of [large, large−81, 14]-code) | [i] | ||
| 5 | Linear OA(2581, large, F25, 12) (dual of [large, large−81, 13]-code) | [i] | ||
| 6 | Linear OA(2581, large, F25, 11) (dual of [large, large−81, 12]-code) | [i] | ||
| 7 | Linear OA(2581, large, F25, 10) (dual of [large, large−81, 11]-code) | [i] | ||
| 8 | Linear OA(2581, large, F25, 9) (dual of [large, large−81, 10]-code) | [i] | ||
| 9 | Linear OA(2581, large, F25, 8) (dual of [large, large−81, 9]-code) | [i] | ||
| 10 | Linear OA(2581, large, F25, 7) (dual of [large, large−81, 8]-code) | [i] | ||
| 11 | Linear OA(2581, large, F25, 6) (dual of [large, large−81, 7]-code) | [i] | ||
| 12 | Linear OA(2581, large, F25, 5) (dual of [large, large−81, 6]-code) | [i] | ||
| 13 | Linear OA(2581, large, F25, 4) (dual of [large, large−81, 5]-code) | [i] | ||
| 14 | Linear OA(2581, large, F25, 3) (dual of [large, large−81, 4]-code) | [i] | ||
| 15 | Linear OA(2582, large, F25, 17) (dual of [large, large−82, 18]-code) | [i] | Code Embedding in Larger Space | |
| 16 | Linear OA(2583, large, F25, 17) (dual of [large, large−83, 18]-code) | [i] | ||
| 17 | Linear OA(2584, large, F25, 17) (dual of [large, large−84, 18]-code) | [i] | ||
| 18 | Linear OA(2585, large, F25, 17) (dual of [large, large−85, 18]-code) | [i] | ||
| 19 | Linear OA(2587, large, F25, 17) (dual of [large, large−87, 18]-code) | [i] | ||
| 20 | Linear OA(2588, large, F25, 17) (dual of [large, large−88, 18]-code) | [i] | ||
| 21 | Linear OA(2589, large, F25, 17) (dual of [large, large−89, 18]-code) | [i] | ||
| 22 | Linear OA(2590, large, F25, 17) (dual of [large, large−90, 18]-code) | [i] | ||
| 23 | Linear OA(2592, large, F25, 17) (dual of [large, large−92, 18]-code) | [i] | ||
| 24 | Linear OA(2593, large, F25, 17) (dual of [large, large−93, 18]-code) | [i] | ||
| 25 | Linear OA(2594, large, F25, 17) (dual of [large, large−94, 18]-code) | [i] | ||
| 26 | Linear OA(2595, large, F25, 17) (dual of [large, large−95, 18]-code) | [i] | ||
| 27 | Linear OA(2597, large, F25, 17) (dual of [large, large−97, 18]-code) | [i] | ||
| 28 | Linear OA(2598, large, F25, 17) (dual of [large, large−98, 18]-code) | [i] | ||
| 29 | Linear OA(2599, large, F25, 17) (dual of [large, large−99, 18]-code) | [i] | ||
| 30 | Linear OA(25100, large, F25, 17) (dual of [large, large−100, 18]-code) | [i] | ||
| 31 | Linear OA(25102, large, F25, 17) (dual of [large, large−102, 18]-code) | [i] | ||
| 32 | Linear OA(25103, large, F25, 17) (dual of [large, large−103, 18]-code) | [i] | ||
| 33 | Linear OA(25104, large, F25, 17) (dual of [large, large−104, 18]-code) | [i] | ||
| 34 | Linear OA(25105, large, F25, 17) (dual of [large, large−105, 18]-code) | [i] | ||
| 35 | Linear OA(25107, large, F25, 17) (dual of [large, large−107, 18]-code) | [i] | ||
| 36 | Linear OA(25108, large, F25, 17) (dual of [large, large−108, 18]-code) | [i] | ||
| 37 | Linear OA(25109, large, F25, 17) (dual of [large, large−109, 18]-code) | [i] | ||
| 38 | Linear OA(25110, large, F25, 17) (dual of [large, large−110, 18]-code) | [i] | ||
| 39 | Linear OOA(2581, 7642493, F25, 2, 17) (dual of [(7642493, 2), 15284905, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 40 | Digital (64, 81, 7642493)-net over F25 | [i] | ||
| 41 | Linear OOA(2581, 4194301, F25, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code) | [i] | OOA Folding | |
| 42 | Linear OOA(2581, 1048575, F25, 17, 17) (dual of [(1048575, 17), 17825694, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |