Information on Result #670296
Linear OA(8172, 13123, F81, 25) (dual of [13123, 13051, 26]-code), using (u, u+v)-construction based on
- linear OA(8123, 6561, F81, 12) (dual of [6561, 6538, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(8149, 6562, F81, 25) (dual of [6562, 6513, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (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(8172, 1093, F81, 25, 25) (dual of [(1093, 25), 27253, 26]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |