Information on Result #2275209
Linear OA(4124, 132, F4, 87) (dual of [132, 8, 88]-code), using 2 times code embedding in larger space based on linear OA(4122, 130, F4, 87) (dual of [130, 8, 88]-code), using
- repeating each code word 2 times [i] 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 OOA(4124, 44, F4, 3, 87) (dual of [(44, 3), 8, 88]-NRT-code) | [i] | OOA Folding | |