Information on Result #670364
Linear OA(8180, 538003, F81, 21) (dual of [538003, 537923, 22]-code), using (u, u+v)-construction based on
- linear OA(8119, 6561, F81, 10) (dual of [6561, 6542, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(8161, 531442, F81, 21) (dual of [531442, 531381, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 531442 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8180, 53800, F81, 21, 21) (dual of [(53800, 21), 1129720, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |