Information on Result #2236415
Linear OA(4116, 123, F4, 82) (dual of [123, 7, 83]-code), using 5 times truncation based on linear OA(4121, 128, F4, 87) (dual of [128, 7, 88]-code), using
- repeating each code word 2 times [i] based on linear OA(457, 64, F4, 43) (dual of [64, 7, 44]-code), using
- an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [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(4116, 41, F4, 3, 82) (dual of [(41, 3), 7, 83]-NRT-code) | [i] | OOA Folding | |