Information on Result #670485
Linear OA(8136, 13123, F81, 13) (dual of [13123, 13087, 14]-code), using (u, u+v)-construction based on
- linear OA(8111, 6561, F81, 6) (dual of [6561, 6550, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(8125, 6562, F81, 13) (dual of [6562, 6537, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (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(8136, 2187, F81, 13, 13) (dual of [(2187, 13), 28395, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |