Information on Result #617542
Linear OA(2786, large, F27, 18) (dual of [large, large−86, 19]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19
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(2786, large, F27, 17) (dual of [large, large−86, 18]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2786, large, F27, 16) (dual of [large, large−86, 17]-code) | [i] | ||
| 3 | Linear OA(2786, large, F27, 15) (dual of [large, large−86, 16]-code) | [i] | ||
| 4 | Linear OA(2786, large, F27, 14) (dual of [large, large−86, 15]-code) | [i] | ||
| 5 | Linear OA(2786, large, F27, 13) (dual of [large, large−86, 14]-code) | [i] | ||
| 6 | Linear OA(2786, large, F27, 12) (dual of [large, large−86, 13]-code) | [i] | ||
| 7 | Linear OA(2786, large, F27, 11) (dual of [large, large−86, 12]-code) | [i] | ||
| 8 | Linear OA(2786, large, F27, 10) (dual of [large, large−86, 11]-code) | [i] | ||
| 9 | Linear OA(2786, large, F27, 9) (dual of [large, large−86, 10]-code) | [i] | ||
| 10 | Linear OA(2786, large, F27, 8) (dual of [large, large−86, 9]-code) | [i] | ||
| 11 | Linear OA(2786, large, F27, 7) (dual of [large, large−86, 8]-code) | [i] | ||
| 12 | Linear OA(2786, large, F27, 6) (dual of [large, large−86, 7]-code) | [i] | ||
| 13 | Linear OA(2786, large, F27, 5) (dual of [large, large−86, 6]-code) | [i] | ||
| 14 | Linear OA(2786, large, F27, 4) (dual of [large, large−86, 5]-code) | [i] | ||
| 15 | Linear OA(2786, large, F27, 3) (dual of [large, large−86, 4]-code) | [i] | ||
| 16 | Linear OA(2787, large, F27, 18) (dual of [large, large−87, 19]-code) | [i] | Code Embedding in Larger Space | |
| 17 | Linear OA(2788, large, F27, 18) (dual of [large, large−88, 19]-code) | [i] | ||
| 18 | Linear OA(2789, large, F27, 18) (dual of [large, large−89, 19]-code) | [i] | ||
| 19 | Linear OA(2790, large, F27, 18) (dual of [large, large−90, 19]-code) | [i] | ||
| 20 | Linear OA(2792, large, F27, 18) (dual of [large, large−92, 19]-code) | [i] | ||
| 21 | Linear OA(2793, large, F27, 18) (dual of [large, large−93, 19]-code) | [i] | ||
| 22 | Linear OA(2794, large, F27, 18) (dual of [large, large−94, 19]-code) | [i] | ||
| 23 | Linear OA(2795, large, F27, 18) (dual of [large, large−95, 19]-code) | [i] | ||
| 24 | Linear OA(2797, large, F27, 18) (dual of [large, large−97, 19]-code) | [i] | ||
| 25 | Linear OA(2798, large, F27, 18) (dual of [large, large−98, 19]-code) | [i] | ||
| 26 | Linear OA(2799, large, F27, 18) (dual of [large, large−99, 19]-code) | [i] | ||
| 27 | Linear OA(27100, large, F27, 18) (dual of [large, large−100, 19]-code) | [i] | ||
| 28 | Linear OA(27102, large, F27, 18) (dual of [large, large−102, 19]-code) | [i] | ||
| 29 | Linear OA(27103, large, F27, 18) (dual of [large, large−103, 19]-code) | [i] | ||
| 30 | Linear OA(27104, large, F27, 18) (dual of [large, large−104, 19]-code) | [i] | ||
| 31 | Linear OA(27105, large, F27, 18) (dual of [large, large−105, 19]-code) | [i] | ||
| 32 | Linear OA(27107, large, F27, 18) (dual of [large, large−107, 19]-code) | [i] | ||
| 33 | Linear OA(27108, large, F27, 18) (dual of [large, large−108, 19]-code) | [i] | ||
| 34 | Linear OA(27109, large, F27, 18) (dual of [large, large−109, 19]-code) | [i] | ||
| 35 | Linear OA(27110, large, F27, 18) (dual of [large, large−110, 19]-code) | [i] | ||
| 36 | Linear OOA(2786, large, F27, 2, 18) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 37 | Digital (68, 86, large)-net over F27 | [i] | ||
| 38 | Linear OOA(2786, 4194301, F27, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code) | [i] | OOA Folding | |
| 39 | Linear OOA(2786, 932067, F27, 18, 18) (dual of [(932067, 18), 16777120, 19]-NRT-code) | [i] | OA Folding and Stacking | |