Information on Result #682127
Linear OA(5145, 1953125, F5, 21) (dual of [1953125, 1952980, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, 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(5146, 1953135, F5, 21) (dual of [1953135, 1952989, 22]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(5146, 1953144, F5, 20) (dual of [1953144, 1952998, 21]-code) | [i] | ✔ | |
| 3 | Linear OA(5148, 1953146, F5, 21) (dual of [1953146, 1952998, 22]-code) | [i] | ✔ | |
| 4 | Linear OA(5149, 1953151, F5, 21) (dual of [1953151, 1953002, 22]-code) | [i] | ✔ | |
| 5 | Linear OA(5150, 1953157, F5, 21) (dual of [1953157, 1953007, 22]-code) | [i] | ✔ | |
| 6 | Linear OA(5148, 1953155, F5, 20) (dual of [1953155, 1953007, 21]-code) | [i] | ✔ | |
| 7 | Linear OA(5150, 1953166, F5, 20) (dual of [1953166, 1953016, 21]-code) | [i] | ✔ | |
| 8 | Linear OOA(5145, 195312, F5, 21, 21) (dual of [(195312, 21), 4101407, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |