Information on Result #617977
Linear OA(27101, 146, F27, 67) (dual of [146, 45, 68]-code), using the expurgated narrow-sense BCH-code C(I) with length 146 | 274−1, defining interval I = [0,33], and minimum distance d ≥ |{−33,−32,…,33}|+1 = 68 (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(27101, 146, F27, 66) (dual of [146, 45, 67]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(27101, 146, F27, 65) (dual of [146, 45, 66]-code) | [i] | ||
| 3 | Linear OA(27101, 146, F27, 64) (dual of [146, 45, 65]-code) | [i] | ||
| 4 | Linear OA(27102, 147, F27, 67) (dual of [147, 45, 68]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(27103, 148, F27, 67) (dual of [148, 45, 68]-code) | [i] | ||
| 6 | Linear OA(27100, 145, F27, 66) (dual of [145, 45, 67]-code) | [i] | Truncation | |
| 7 | Linear OA(2799, 144, F27, 65) (dual of [144, 45, 66]-code) | [i] | ||
| 8 | Linear OA(2798, 143, F27, 64) (dual of [143, 45, 65]-code) | [i] | ||
| 9 | Linear OA(2797, 142, F27, 63) (dual of [142, 45, 64]-code) | [i] | ||
| 10 | Linear OA(2796, 141, F27, 62) (dual of [141, 45, 63]-code) | [i] | ||
| 11 | Linear OA(2795, 140, F27, 61) (dual of [140, 45, 62]-code) | [i] | ||
| 12 | Linear OA(27106, 151, F27, 69) (dual of [151, 45, 70]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 13 | Linear OA(27106, 155, F27, 67) (dual of [155, 49, 68]-code) | [i] | ✔ | |
| 14 | Linear OOA(27101, 73, F27, 2, 67) (dual of [(73, 2), 45, 68]-NRT-code) | [i] | OOA Folding | |