Information on Result #671326
Linear OA(12848, 32769, F128, 17) (dual of [32769, 32721, 18]-code), using (u, u+v)-construction based on
- linear OA(12815, 16384, F128, 8) (dual of [16384, 16369, 9]-code), using
- an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(12833, 16385, F128, 17) (dual of [16385, 16352, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (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(12848, 4096, F128, 17, 17) (dual of [(4096, 17), 69584, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |