Information on Result #612507
Linear OA(3147, 165, F3, 82) (dual of [165, 18, 83]-code), using an extension Ce(81) of the narrow-sense BCH-code C(I) with length 164 | 38−1, defining interval I = [1,81], and designed minimum distance d ≥ |I|+1 = 82
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3147, 165, F3, 81) (dual of [165, 18, 82]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3147, 165, F3, 80) (dual of [165, 18, 81]-code) | [i] | ||
| 3 | Linear OA(3147, 165, F3, 79) (dual of [165, 18, 80]-code) | [i] | ||
| 4 | Linear OA(3147, 165, F3, 78) (dual of [165, 18, 79]-code) | [i] | ||
| 5 | Linear OA(3147, 165, F3, 77) (dual of [165, 18, 78]-code) | [i] | ||
| 6 | Linear OA(3147, 165, F3, 76) (dual of [165, 18, 77]-code) | [i] | ||
| 7 | Linear OA(3149, 167, F3, 82) (dual of [167, 18, 83]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(3150, 168, F3, 82) (dual of [168, 18, 83]-code) | [i] | ||
| 9 | Linear OA(3151, 169, F3, 82) (dual of [169, 18, 83]-code) | [i] | ||
| 10 | Linear OA(3148, 166, F3, 83) (dual of [166, 18, 84]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 11 | Linear OA(3162, 184, F3, 81) (dual of [184, 22, 82]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OOA(3147, 82, F3, 2, 82) (dual of [(82, 2), 17, 83]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3147, 55, F3, 3, 82) (dual of [(55, 3), 18, 83]-NRT-code) | [i] | ||
| 14 | Linear OOA(3147, 33, F3, 5, 82) (dual of [(33, 5), 18, 83]-NRT-code) | [i] | ||