Information on Result #614179
Linear OA(5111, 126, F5, 73) (dual of [126, 15, 74]-code), using the expurgated narrow-sense BCH-code C(I) with length 126 | 56−1, defining interval I = [0,36], and minimum distance d ≥ |{−36,−35,…,36}|+1 = 74 (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.
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(5110, 125, F5, 72) (dual of [125, 15, 73]-code) | [i] | Truncation | |
| 2 | Linear OA(5144, 160, F5, 73) (dual of [160, 16, 74]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 3 | Linear OA(5112, 133, F5, 67) (dual of [133, 21, 68]-code) | [i] | ✔ | |
| 4 | Linear OA(5120, 140, F5, 73) (dual of [140, 20, 74]-code) | [i] | ✔ | |
| 5 | Linear OA(5121, 142, F5, 73) (dual of [142, 21, 74]-code) | [i] | ✔ | |
| 6 | Linear OA(5117, 138, F5, 71) (dual of [138, 21, 72]-code) | [i] | ✔ | |
| 7 | Linear OA(5124, 151, F5, 73) (dual of [151, 27, 74]-code) | [i] | ✔ | |
| 8 | Linear OA(5121, 148, F5, 71) (dual of [148, 27, 72]-code) | [i] | ✔ | |
| 9 | Linear OA(5118, 145, F5, 69) (dual of [145, 27, 70]-code) | [i] | ✔ | |
| 10 | Linear OA(5115, 142, F5, 67) (dual of [142, 27, 68]-code) | [i] | ✔ | |
| 11 | Linear OA(5123, 145, F5, 73) (dual of [145, 22, 74]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 12 | Linear OA(5120, 142, F5, 71) (dual of [142, 22, 72]-code) | [i] | ✔ | |
| 13 | Linear OA(5117, 139, F5, 69) (dual of [139, 22, 70]-code) | [i] | ✔ | |
| 14 | Linear OA(5114, 136, F5, 67) (dual of [136, 22, 68]-code) | [i] | ✔ | |
| 15 | Linear OOA(5111, 63, F5, 2, 73) (dual of [(63, 2), 15, 74]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(5111, 42, F5, 3, 73) (dual of [(42, 3), 15, 74]-NRT-code) | [i] | ||