Information on Result #671176
Linear OA(12864, 16513, F128, 26) (dual of [16513, 16449, 27]-code), using (u, u+v)-construction based on
- linear OA(12813, 129, F128, 13) (dual of [129, 116, 14]-code or 129-arc in PG(12,128)), using
- extended Reed–Solomon code RSe(116,128) [i]
- the expurgated narrow-sense BCH-code C(I) with length 129 | 1282−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(12864, 1270, F128, 26, 26) (dual of [(1270, 26), 32956, 27]-NRT-code) | [i] | OA Folding and Stacking | |