Information on Result #701049
Linear OA(440, 63, F4, 22) (dual of [63, 23, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23
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
- Contraction (with Narrow-Sense BCH-Code) (hidden) [i]
- Primitive Cyclic Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(452, 77, F4, 27) (dual of [77, 25, 28]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 2 | Linear OA(450, 73, F4, 27) (dual of [73, 23, 28]-code) | [i] | ✔ | |
| 3 | Linear OA(456, 79, F4, 29) (dual of [79, 23, 30]-code) | [i] | ✔ | |
| 4 | Linear OA(457, 79, F4, 30) (dual of [79, 22, 31]-code) | [i] | ✔ | |
| 5 | Linear OA(454, 83, F4, 25) (dual of [83, 29, 26]-code) | [i] | ✔ | |