Information on Result #625543
Linear OA(4122, 130, F4, 87) (dual of [130, 8, 88]-code), using repeating each code word 2 times based on linear OA(457, 65, F4, 43) (dual of [65, 8, 44]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 65 | 46−1, defining interval I = [0,21], and minimum distance d ≥ |{−21,−20,…,21}|+1 = 44 (BCH-bound) [i]
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(4122, 130, F4, 86) (dual of [130, 8, 87]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4122, 130, F4, 85) (dual of [130, 8, 86]-code) | [i] | ||
| 3 | Linear OA(4122, 130, F4, 84) (dual of [130, 8, 85]-code) | [i] | ||
| 4 | Linear OA(4122, 130, F4, 83) (dual of [130, 8, 84]-code) | [i] | ||
| 5 | Linear OA(4122, 130, F4, 82) (dual of [130, 8, 83]-code) | [i] | ||
| 6 | Linear OA(4122, 130, F4, 81) (dual of [130, 8, 82]-code) | [i] | ||
| 7 | Linear OA(4123, 131, F4, 87) (dual of [131, 8, 88]-code) | [i] | Code Embedding in Larger Space | |
| 8 | Linear OA(4124, 132, F4, 87) (dual of [132, 8, 88]-code) | [i] | ||
| 9 | Linear OA(4121, 129, F4, 86) (dual of [129, 8, 87]-code) | [i] | Truncation | |
| 10 | Linear OA(4119, 127, F4, 84) (dual of [127, 8, 85]-code) | [i] | ||
| 11 | Linear OA(4117, 125, F4, 82) (dual of [125, 8, 83]-code) | [i] | ||
| 12 | Linear OA(4115, 123, F4, 80) (dual of [123, 8, 81]-code) | [i] | ||
| 13 | Linear OA(4113, 121, F4, 78) (dual of [121, 8, 79]-code) | [i] | ||
| 14 | Linear OA(4111, 119, F4, 76) (dual of [119, 8, 77]-code) | [i] | ||
| 15 | Linear OOA(4122, 65, F4, 2, 87) (dual of [(65, 2), 8, 88]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(4122, 43, F4, 3, 87) (dual of [(43, 3), 7, 88]-NRT-code) | [i] | ||