Information on Result #699701
Linear OA(12849, 2097152, F128, 17) (dual of [2097152, 2097103, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(12852, 2097155, F128, 18) (dual of [2097155, 2097103, 19]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(12849, 2097155, F128, 17) (dual of [2097155, 2097106, 18]-code) | [i] | ✔ | |
| 3 | Linear OA(12860, 2097163, F128, 20) (dual of [2097163, 2097103, 21]-code) | [i] | ✔ | |
| 4 | Linear OA(12851, 2097163, F128, 17) (dual of [2097163, 2097112, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(12868, 2097171, F128, 22) (dual of [2097171, 2097103, 23]-code) | [i] | ✔ | |
| 6 | Linear OA(12853, 2097171, F128, 17) (dual of [2097171, 2097118, 18]-code) | [i] | ✔ | |
| 7 | Linear OA(12876, 2097179, F128, 24) (dual of [2097179, 2097103, 25]-code) | [i] | ✔ | |
| 8 | Linear OA(12855, 2097179, F128, 17) (dual of [2097179, 2097124, 18]-code) | [i] | ✔ | |
| 9 | Linear OOA(12849, 524288, F128, 4, 17) (dual of [(524288, 4), 2097103, 18]-NRT-code) | [i] | OOA Folding | |