Information on Result #699157
Linear OA(8161, 531441, F81, 21) (dual of [531441, 531380, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 531440 = 813−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21
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(8164, 531444, F81, 22) (dual of [531444, 531380, 23]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(8161, 531444, F81, 21) (dual of [531444, 531383, 22]-code) | [i] | ✔ | |
| 3 | Linear OA(8172, 531452, F81, 24) (dual of [531452, 531380, 25]-code) | [i] | ✔ | |
| 4 | Linear OA(8163, 531452, F81, 21) (dual of [531452, 531389, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(8180, 531460, F81, 26) (dual of [531460, 531380, 27]-code) | [i] | ✔ | |
| 6 | Linear OA(8165, 531460, F81, 21) (dual of [531460, 531395, 22]-code) | [i] | ✔ | |
| 7 | Linear OA(8167, 531468, F81, 21) (dual of [531468, 531401, 22]-code) | [i] | ✔ | |
| 8 | Linear OA(8169, 531476, F81, 21) (dual of [531476, 531407, 22]-code) | [i] | ✔ | |
| 9 | Linear OOA(8161, 53144, F81, 21, 21) (dual of [(53144, 21), 1115963, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |