Information on Result #617469
Linear OA(2756, large, F27, 12) (dual of [large, large−56, 13]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 275−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13
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(2756, large, F27, 11) (dual of [large, large−56, 12]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2756, large, F27, 10) (dual of [large, large−56, 11]-code) | [i] | ||
| 3 | Linear OA(2756, large, F27, 9) (dual of [large, large−56, 10]-code) | [i] | ||
| 4 | Linear OA(2756, large, F27, 8) (dual of [large, large−56, 9]-code) | [i] | ||
| 5 | Linear OA(2756, large, F27, 7) (dual of [large, large−56, 8]-code) | [i] | ||
| 6 | Linear OA(2756, large, F27, 6) (dual of [large, large−56, 7]-code) | [i] | ||
| 7 | Linear OA(2756, large, F27, 5) (dual of [large, large−56, 6]-code) | [i] | ||
| 8 | Linear OA(2756, large, F27, 4) (dual of [large, large−56, 5]-code) | [i] | ||
| 9 | Linear OA(2756, large, F27, 3) (dual of [large, large−56, 4]-code) | [i] | ||
| 10 | Linear OA(2757, large, F27, 12) (dual of [large, large−57, 13]-code) | [i] | Code Embedding in Larger Space | |
| 11 | Linear OA(2758, large, F27, 12) (dual of [large, large−58, 13]-code) | [i] | ||
| 12 | Linear OA(2759, large, F27, 12) (dual of [large, large−59, 13]-code) | [i] | ||
| 13 | Linear OA(2760, large, F27, 12) (dual of [large, large−60, 13]-code) | [i] | ||
| 14 | Linear OA(2762, large, F27, 12) (dual of [large, large−62, 13]-code) | [i] | ||
| 15 | Linear OA(2763, large, F27, 12) (dual of [large, large−63, 13]-code) | [i] | ||
| 16 | Linear OA(2764, large, F27, 12) (dual of [large, large−64, 13]-code) | [i] | ||
| 17 | Linear OA(2765, large, F27, 12) (dual of [large, large−65, 13]-code) | [i] | ||
| 18 | Linear OA(2767, large, F27, 12) (dual of [large, large−67, 13]-code) | [i] | ||
| 19 | Linear OA(2768, large, F27, 12) (dual of [large, large−68, 13]-code) | [i] | ||
| 20 | Linear OA(2769, large, F27, 12) (dual of [large, large−69, 13]-code) | [i] | ||
| 21 | Linear OA(2770, large, F27, 12) (dual of [large, large−70, 13]-code) | [i] | ||
| 22 | Linear OA(2772, large, F27, 12) (dual of [large, large−72, 13]-code) | [i] | ||
| 23 | Linear OA(2773, large, F27, 12) (dual of [large, large−73, 13]-code) | [i] | ||
| 24 | Linear OA(2774, large, F27, 12) (dual of [large, large−74, 13]-code) | [i] | ||
| 25 | Linear OA(2775, large, F27, 12) (dual of [large, large−75, 13]-code) | [i] | ||
| 26 | Linear OA(2777, large, F27, 12) (dual of [large, large−77, 13]-code) | [i] | ||
| 27 | Linear OA(2778, large, F27, 12) (dual of [large, large−78, 13]-code) | [i] | ||
| 28 | Linear OA(2779, large, F27, 12) (dual of [large, large−79, 13]-code) | [i] | ||
| 29 | Linear OA(2780, large, F27, 12) (dual of [large, large−80, 13]-code) | [i] | ||
| 30 | Linear OA(2782, large, F27, 12) (dual of [large, large−82, 13]-code) | [i] | ||
| 31 | Linear OA(2783, large, F27, 12) (dual of [large, large−83, 13]-code) | [i] | ||
| 32 | Linear OA(2784, large, F27, 12) (dual of [large, large−84, 13]-code) | [i] | ||
| 33 | Linear OA(2785, large, F27, 12) (dual of [large, large−85, 13]-code) | [i] | ||
| 34 | Linear OA(2787, large, F27, 12) (dual of [large, large−87, 13]-code) | [i] | ||
| 35 | Linear OA(2788, large, F27, 12) (dual of [large, large−88, 13]-code) | [i] | ||
| 36 | Linear OA(2789, large, F27, 12) (dual of [large, large−89, 13]-code) | [i] | ||
| 37 | Linear OA(2790, large, F27, 12) (dual of [large, large−90, 13]-code) | [i] | ||
| 38 | Linear OA(2792, large, F27, 12) (dual of [large, large−92, 13]-code) | [i] | ||
| 39 | Linear OA(2793, large, F27, 12) (dual of [large, large−93, 13]-code) | [i] | ||
| 40 | Linear OA(2794, large, F27, 12) (dual of [large, large−94, 13]-code) | [i] | ||
| 41 | Linear OA(2795, large, F27, 12) (dual of [large, large−95, 13]-code) | [i] | ||
| 42 | Linear OA(2797, large, F27, 12) (dual of [large, large−97, 13]-code) | [i] | ||
| 43 | Linear OA(2798, large, F27, 12) (dual of [large, large−98, 13]-code) | [i] | ||
| 44 | Linear OA(2799, large, F27, 12) (dual of [large, large−99, 13]-code) | [i] | ||
| 45 | Linear OA(27100, large, F27, 12) (dual of [large, large−100, 13]-code) | [i] | ||
| 46 | Linear OA(27102, large, F27, 12) (dual of [large, large−102, 13]-code) | [i] | ||
| 47 | Linear OA(27103, large, F27, 12) (dual of [large, large−103, 13]-code) | [i] | ||
| 48 | Linear OA(27104, large, F27, 12) (dual of [large, large−104, 13]-code) | [i] | ||
| 49 | Linear OA(27105, large, F27, 12) (dual of [large, large−105, 13]-code) | [i] | ||
| 50 | Linear OA(27107, large, F27, 12) (dual of [large, large−107, 13]-code) | [i] | ||
| 51 | Linear OA(27108, large, F27, 12) (dual of [large, large−108, 13]-code) | [i] | ||
| 52 | Linear OA(27109, large, F27, 12) (dual of [large, large−109, 13]-code) | [i] | ||
| 53 | Linear OA(27110, large, F27, 12) (dual of [large, large−110, 13]-code) | [i] | ||
| 54 | Linear OOA(2756, large, F27, 2, 12) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 55 | Digital (44, 56, large)-net over F27 | [i] | ||
| 56 | Linear OOA(2756, 4194301, F27, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code) | [i] | OOA Folding | |
| 57 | Linear OOA(2756, 1398100, F27, 12, 12) (dual of [(1398100, 12), 16777144, 13]-NRT-code) | [i] | OA Folding and Stacking | |