Information on Result #617854
Linear OA(2773, 146, F27, 45) (dual of [146, 73, 46]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,22], and minimum distance d ≥ |{−22,−21,…,22}|+1 = 46 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(2773, 146, F27, 44) (dual of [146, 73, 45]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(2774, 147, F27, 45) (dual of [147, 73, 46]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(2775, 148, F27, 45) (dual of [148, 73, 46]-code) | [i] | ||
| 4 | Linear OA(2772, 145, F27, 44) (dual of [145, 73, 45]-code) | [i] | Truncation | |
| 5 | Linear OA(2771, 144, F27, 43) (dual of [144, 73, 44]-code) | [i] | ||
| 6 | Linear OA(2770, 143, F27, 42) (dual of [143, 73, 43]-code) | [i] | ||
| 7 | Linear OA(2769, 142, F27, 41) (dual of [142, 73, 42]-code) | [i] | ||
| 8 | Linear OA(2768, 141, F27, 40) (dual of [141, 73, 41]-code) | [i] | ||
| 9 | Linear OA(2767, 140, F27, 39) (dual of [140, 73, 40]-code) | [i] | ||
| 10 | Linear OA(2793, 167, F27, 45) (dual of [167, 74, 46]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 11 | Linear OA(2778, 151, F27, 47) (dual of [151, 73, 48]-code) | [i] | ✔ | |
| 12 | Linear OOA(2773, 73, F27, 2, 45) (dual of [(73, 2), 73, 46]-NRT-code) | [i] | OOA Folding | |