Information on Result #670482
Linear OA(8133, 6678, F81, 13) (dual of [6678, 6645, 14]-code), using (u, u+v)-construction based on
- linear OA(818, 116, F81, 6) (dual of [116, 108, 7]-code), using
- extended algebraic-geometric code AGe(F,109P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- 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(8133, 3339, F81, 2, 13) (dual of [(3339, 2), 6645, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8133, 2226, F81, 3, 13) (dual of [(2226, 3), 6645, 14]-NRT-code) | [i] | ||