Information on Result #672044
Linear OA(8181, 6778, F81, 29) (dual of [6778, 6697, 30]-code), using (u, u+v)-construction based on
- linear OA(8124, 216, F81, 14) (dual of [216, 192, 15]-code), using
- (u, u+v)-construction [i] based on
- linear OA(818, 100, F81, 7) (dual of [100, 92, 8]-code), using
- extended algebraic-geometric code AGe(F,92P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OA(8116, 116, F81, 14) (dual of [116, 100, 15]-code), using
- extended algebraic-geometric code AGe(F,101P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OA(818, 100, F81, 7) (dual of [100, 92, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(8157, 6562, F81, 29) (dual of [6562, 6505, 30]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (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(8181, 3389, F81, 2, 29) (dual of [(3389, 2), 6697, 30]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8181, 2259, F81, 3, 29) (dual of [(2259, 3), 6696, 30]-NRT-code) | [i] | ||