Information on Result #671388
Linear OA(12836, 32769, F128, 13) (dual of [32769, 32733, 14]-code), using (u, u+v)-construction based on
- linear OA(12811, 16384, F128, 6) (dual of [16384, 16373, 7]-code), using
- an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(12825, 16385, F128, 13) (dual of [16385, 16360, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, 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(12836, 5461, F128, 13, 13) (dual of [(5461, 13), 70957, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |