Information on Result #617534
Linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, 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(2781, large, F27, 16) (dual of [large, large−81, 17]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2781, large, F27, 15) (dual of [large, large−81, 16]-code) | [i] | ||
| 3 | Linear OA(2781, large, F27, 14) (dual of [large, large−81, 15]-code) | [i] | ||
| 4 | Linear OA(2781, large, F27, 13) (dual of [large, large−81, 14]-code) | [i] | ||
| 5 | Linear OA(2781, large, F27, 12) (dual of [large, large−81, 13]-code) | [i] | ||
| 6 | Linear OA(2781, large, F27, 11) (dual of [large, large−81, 12]-code) | [i] | ||
| 7 | Linear OA(2781, large, F27, 10) (dual of [large, large−81, 11]-code) | [i] | ||
| 8 | Linear OA(2781, large, F27, 9) (dual of [large, large−81, 10]-code) | [i] | ||
| 9 | Linear OA(2781, large, F27, 8) (dual of [large, large−81, 9]-code) | [i] | ||
| 10 | Linear OA(2781, large, F27, 7) (dual of [large, large−81, 8]-code) | [i] | ||
| 11 | Linear OA(2781, large, F27, 6) (dual of [large, large−81, 7]-code) | [i] | ||
| 12 | Linear OA(2781, large, F27, 5) (dual of [large, large−81, 6]-code) | [i] | ||
| 13 | Linear OA(2781, large, F27, 4) (dual of [large, large−81, 5]-code) | [i] | ||
| 14 | Linear OA(2781, large, F27, 3) (dual of [large, large−81, 4]-code) | [i] | ||
| 15 | Linear OA(2782, large, F27, 17) (dual of [large, large−82, 18]-code) | [i] | Code Embedding in Larger Space | |
| 16 | Linear OA(2783, large, F27, 17) (dual of [large, large−83, 18]-code) | [i] | ||
| 17 | Linear OA(2784, large, F27, 17) (dual of [large, large−84, 18]-code) | [i] | ||
| 18 | Linear OA(2785, large, F27, 17) (dual of [large, large−85, 18]-code) | [i] | ||
| 19 | Linear OA(2787, large, F27, 17) (dual of [large, large−87, 18]-code) | [i] | ||
| 20 | Linear OA(2788, large, F27, 17) (dual of [large, large−88, 18]-code) | [i] | ||
| 21 | Linear OA(2789, large, F27, 17) (dual of [large, large−89, 18]-code) | [i] | ||
| 22 | Linear OA(2790, large, F27, 17) (dual of [large, large−90, 18]-code) | [i] | ||
| 23 | Linear OA(2792, large, F27, 17) (dual of [large, large−92, 18]-code) | [i] | ||
| 24 | Linear OA(2793, large, F27, 17) (dual of [large, large−93, 18]-code) | [i] | ||
| 25 | Linear OA(2794, large, F27, 17) (dual of [large, large−94, 18]-code) | [i] | ||
| 26 | Linear OA(2795, large, F27, 17) (dual of [large, large−95, 18]-code) | [i] | ||
| 27 | Linear OA(2797, large, F27, 17) (dual of [large, large−97, 18]-code) | [i] | ||
| 28 | Linear OA(2798, large, F27, 17) (dual of [large, large−98, 18]-code) | [i] | ||
| 29 | Linear OA(2799, large, F27, 17) (dual of [large, large−99, 18]-code) | [i] | ||
| 30 | Linear OA(27100, large, F27, 17) (dual of [large, large−100, 18]-code) | [i] | ||
| 31 | Linear OA(27102, large, F27, 17) (dual of [large, large−102, 18]-code) | [i] | ||
| 32 | Linear OA(27103, large, F27, 17) (dual of [large, large−103, 18]-code) | [i] | ||
| 33 | Linear OA(27104, large, F27, 17) (dual of [large, large−104, 18]-code) | [i] | ||
| 34 | Linear OA(27105, large, F27, 17) (dual of [large, large−105, 18]-code) | [i] | ||
| 35 | Linear OA(27107, large, F27, 17) (dual of [large, large−107, 18]-code) | [i] | ||
| 36 | Linear OA(27108, large, F27, 17) (dual of [large, large−108, 18]-code) | [i] | ||
| 37 | Linear OA(27109, large, F27, 17) (dual of [large, large−109, 18]-code) | [i] | ||
| 38 | Linear OA(27110, large, F27, 17) (dual of [large, large−110, 18]-code) | [i] | ||
| 39 | Linear OOA(2781, large, F27, 2, 17) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 40 | Digital (64, 81, large)-net over F27 | [i] | ||
| 41 | Linear OOA(2781, 4194301, F27, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code) | [i] | OOA Folding | |
| 42 | Linear OOA(2781, 1048575, F27, 17, 17) (dual of [(1048575, 17), 17825694, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |