Information on Result #670268
Linear OA(8170, 6712, F81, 27) (dual of [6712, 6642, 28]-code), using (u, u+v)-construction based on
- linear OA(8117, 150, F81, 13) (dual of [150, 133, 14]-code), using
- extended algebraic-geometric code AGe(F,136P) [i] based on function field F/F81 with g(F) = 4 and N(F) ≥ 150, using
- linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (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(8170, 3356, F81, 2, 27) (dual of [(3356, 2), 6642, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8170, 2237, F81, 3, 27) (dual of [(2237, 3), 6641, 28]-NRT-code) | [i] | ||