Information on Result #617595
Linear OA(27106, large, F27, 22) (dual of [large, large−106, 23]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,21], and designed minimum distance d ≥ |I|+1 = 23
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(27106, large, F27, 21) (dual of [large, large−106, 22]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(27106, large, F27, 20) (dual of [large, large−106, 21]-code) | [i] | ||
| 3 | Linear OA(27106, large, F27, 19) (dual of [large, large−106, 20]-code) | [i] | ||
| 4 | Linear OA(27106, large, F27, 18) (dual of [large, large−106, 19]-code) | [i] | ||
| 5 | Linear OA(27106, large, F27, 17) (dual of [large, large−106, 18]-code) | [i] | ||
| 6 | Linear OA(27106, large, F27, 16) (dual of [large, large−106, 17]-code) | [i] | ||
| 7 | Linear OA(27106, large, F27, 15) (dual of [large, large−106, 16]-code) | [i] | ||
| 8 | Linear OA(27106, large, F27, 14) (dual of [large, large−106, 15]-code) | [i] | ||
| 9 | Linear OA(27106, large, F27, 13) (dual of [large, large−106, 14]-code) | [i] | ||
| 10 | Linear OA(27106, large, F27, 12) (dual of [large, large−106, 13]-code) | [i] | ||
| 11 | Linear OA(27106, large, F27, 11) (dual of [large, large−106, 12]-code) | [i] | ||
| 12 | Linear OA(27106, large, F27, 10) (dual of [large, large−106, 11]-code) | [i] | ||
| 13 | Linear OA(27106, large, F27, 9) (dual of [large, large−106, 10]-code) | [i] | ||
| 14 | Linear OA(27106, large, F27, 8) (dual of [large, large−106, 9]-code) | [i] | ||
| 15 | Linear OA(27106, large, F27, 7) (dual of [large, large−106, 8]-code) | [i] | ||
| 16 | Linear OA(27106, large, F27, 6) (dual of [large, large−106, 7]-code) | [i] | ||
| 17 | Linear OA(27106, large, F27, 5) (dual of [large, large−106, 6]-code) | [i] | ||
| 18 | Linear OA(27106, large, F27, 4) (dual of [large, large−106, 5]-code) | [i] | ||
| 19 | Linear OA(27106, large, F27, 3) (dual of [large, large−106, 4]-code) | [i] | ||
| 20 | Linear OA(27107, large, F27, 22) (dual of [large, large−107, 23]-code) | [i] | Code Embedding in Larger Space | |
| 21 | Linear OA(27108, large, F27, 22) (dual of [large, large−108, 23]-code) | [i] | ||
| 22 | Linear OA(27109, large, F27, 22) (dual of [large, large−109, 23]-code) | [i] | ||
| 23 | Linear OA(27110, large, F27, 22) (dual of [large, large−110, 23]-code) | [i] | ||
| 24 | Linear OOA(27106, large, F27, 2, 22) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 25 | Digital (84, 106, large)-net over F27 | [i] | ||
| 26 | Linear OOA(27106, 4194301, F27, 2, 22) (dual of [(4194301, 2), 8388496, 23]-NRT-code) | [i] | OOA Folding | |
| 27 | Linear OOA(27106, 762600, F27, 22, 22) (dual of [(762600, 22), 16777094, 23]-NRT-code) | [i] | OA Folding and Stacking | |