Information on Result #617462
Linear OA(2751, large, F27, 11) (dual of [large, large−51, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(2751, large, F27, 10) (dual of [large, large−51, 11]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2751, large, F27, 9) (dual of [large, large−51, 10]-code) | [i] | ||
| 3 | Linear OA(2751, large, F27, 8) (dual of [large, large−51, 9]-code) | [i] | ||
| 4 | Linear OA(2751, large, F27, 7) (dual of [large, large−51, 8]-code) | [i] | ||
| 5 | Linear OA(2751, large, F27, 6) (dual of [large, large−51, 7]-code) | [i] | ||
| 6 | Linear OA(2751, large, F27, 5) (dual of [large, large−51, 6]-code) | [i] | ||
| 7 | Linear OA(2751, large, F27, 4) (dual of [large, large−51, 5]-code) | [i] | ||
| 8 | Linear OA(2751, large, F27, 3) (dual of [large, large−51, 4]-code) | [i] | ||
| 9 | Linear OA(2752, large, F27, 11) (dual of [large, large−52, 12]-code) | [i] | Code Embedding in Larger Space | |
| 10 | Linear OA(2753, large, F27, 11) (dual of [large, large−53, 12]-code) | [i] | ||
| 11 | Linear OA(2754, large, F27, 11) (dual of [large, large−54, 12]-code) | [i] | ||
| 12 | Linear OA(2755, large, F27, 11) (dual of [large, large−55, 12]-code) | [i] | ||
| 13 | Linear OA(2757, large, F27, 11) (dual of [large, large−57, 12]-code) | [i] | ||
| 14 | Linear OA(2758, large, F27, 11) (dual of [large, large−58, 12]-code) | [i] | ||
| 15 | Linear OA(2759, large, F27, 11) (dual of [large, large−59, 12]-code) | [i] | ||
| 16 | Linear OA(2760, large, F27, 11) (dual of [large, large−60, 12]-code) | [i] | ||
| 17 | Linear OA(2762, large, F27, 11) (dual of [large, large−62, 12]-code) | [i] | ||
| 18 | Linear OA(2763, large, F27, 11) (dual of [large, large−63, 12]-code) | [i] | ||
| 19 | Linear OA(2764, large, F27, 11) (dual of [large, large−64, 12]-code) | [i] | ||
| 20 | Linear OA(2765, large, F27, 11) (dual of [large, large−65, 12]-code) | [i] | ||
| 21 | Linear OA(2767, large, F27, 11) (dual of [large, large−67, 12]-code) | [i] | ||
| 22 | Linear OA(2768, large, F27, 11) (dual of [large, large−68, 12]-code) | [i] | ||
| 23 | Linear OA(2769, large, F27, 11) (dual of [large, large−69, 12]-code) | [i] | ||
| 24 | Linear OA(2770, large, F27, 11) (dual of [large, large−70, 12]-code) | [i] | ||
| 25 | Linear OA(2772, large, F27, 11) (dual of [large, large−72, 12]-code) | [i] | ||
| 26 | Linear OA(2773, large, F27, 11) (dual of [large, large−73, 12]-code) | [i] | ||
| 27 | Linear OA(2774, large, F27, 11) (dual of [large, large−74, 12]-code) | [i] | ||
| 28 | Linear OA(2775, large, F27, 11) (dual of [large, large−75, 12]-code) | [i] | ||
| 29 | Linear OA(2777, large, F27, 11) (dual of [large, large−77, 12]-code) | [i] | ||
| 30 | Linear OA(2778, large, F27, 11) (dual of [large, large−78, 12]-code) | [i] | ||
| 31 | Linear OA(2779, large, F27, 11) (dual of [large, large−79, 12]-code) | [i] | ||
| 32 | Linear OA(2780, large, F27, 11) (dual of [large, large−80, 12]-code) | [i] | ||
| 33 | Linear OA(2782, large, F27, 11) (dual of [large, large−82, 12]-code) | [i] | ||
| 34 | Linear OA(2783, large, F27, 11) (dual of [large, large−83, 12]-code) | [i] | ||
| 35 | Linear OA(2784, large, F27, 11) (dual of [large, large−84, 12]-code) | [i] | ||
| 36 | Linear OA(2785, large, F27, 11) (dual of [large, large−85, 12]-code) | [i] | ||
| 37 | Linear OA(2787, large, F27, 11) (dual of [large, large−87, 12]-code) | [i] | ||
| 38 | Linear OA(2788, large, F27, 11) (dual of [large, large−88, 12]-code) | [i] | ||
| 39 | Linear OA(2789, large, F27, 11) (dual of [large, large−89, 12]-code) | [i] | ||
| 40 | Linear OA(2790, large, F27, 11) (dual of [large, large−90, 12]-code) | [i] | ||
| 41 | Linear OA(2792, large, F27, 11) (dual of [large, large−92, 12]-code) | [i] | ||
| 42 | Linear OA(2793, large, F27, 11) (dual of [large, large−93, 12]-code) | [i] | ||
| 43 | Linear OA(2794, large, F27, 11) (dual of [large, large−94, 12]-code) | [i] | ||
| 44 | Linear OA(2795, large, F27, 11) (dual of [large, large−95, 12]-code) | [i] | ||
| 45 | Linear OA(2797, large, F27, 11) (dual of [large, large−97, 12]-code) | [i] | ||
| 46 | Linear OA(2798, large, F27, 11) (dual of [large, large−98, 12]-code) | [i] | ||
| 47 | Linear OA(2799, large, F27, 11) (dual of [large, large−99, 12]-code) | [i] | ||
| 48 | Linear OA(27100, large, F27, 11) (dual of [large, large−100, 12]-code) | [i] | ||
| 49 | Linear OA(27102, large, F27, 11) (dual of [large, large−102, 12]-code) | [i] | ||
| 50 | Linear OA(27103, large, F27, 11) (dual of [large, large−103, 12]-code) | [i] | ||
| 51 | Linear OA(27104, large, F27, 11) (dual of [large, large−104, 12]-code) | [i] | ||
| 52 | Linear OA(27105, large, F27, 11) (dual of [large, large−105, 12]-code) | [i] | ||
| 53 | Linear OA(27107, large, F27, 11) (dual of [large, large−107, 12]-code) | [i] | ||
| 54 | Linear OA(27108, large, F27, 11) (dual of [large, large−108, 12]-code) | [i] | ||
| 55 | Linear OA(27109, large, F27, 11) (dual of [large, large−109, 12]-code) | [i] | ||
| 56 | Linear OA(27110, large, F27, 11) (dual of [large, large−110, 12]-code) | [i] | ||
| 57 | Linear OOA(2751, large, F27, 2, 11) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 58 | Digital (40, 51, large)-net over F27 | [i] | ||
| 59 | Linear OOA(2751, 4194301, F27, 2, 11) (dual of [(4194301, 2), 8388551, 12]-NRT-code) | [i] | OOA Folding | |
| 60 | Linear OOA(2751, 1677720, F27, 11, 11) (dual of [(1677720, 11), 18454869, 12]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |