Information on Result #612939
Linear OA(447, 64, F4, 27) (dual of [64, 17, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(4111, 128, F4, 55) (dual of [128, 17, 56]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(2158, 192, F2, 55) (dual of [192, 34, 56]-code) | [i] | Concatenation of Two Codes | |
| 3 | Linear OA(458, 76, F4, 31) (dual of [76, 18, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(452, 70, F4, 29) (dual of [70, 18, 30]-code) | [i] | ✔ | |
| 5 | Linear OA(450, 71, F4, 27) (dual of [71, 21, 28]-code) | [i] | ✔ | |
| 6 | Linear OA(452, 76, F4, 27) (dual of [76, 24, 28]-code) | [i] | ✔ | |
| 7 | Linear OA(454, 81, F4, 27) (dual of [81, 27, 28]-code) | [i] | ✔ | |