Information on Result #904703
Linear OOA(8175, 3497, F81, 2, 27) (dual of [(3497, 2), 6919, 28]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8122, 216, F81, 2, 13) (dual of [(216, 2), 410, 14]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(817, 100, F81, 2, 6) (dual of [(100, 2), 193, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,193P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8115, 116, F81, 2, 13) (dual of [(116, 2), 217, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,218P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(817, 100, F81, 2, 6) (dual of [(100, 2), 193, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(8153, 3281, F81, 2, 27) (dual of [(3281, 2), 6509, 28]-NRT-code), using
- OOA 2-folding [i] based on 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]
- OOA 2-folding [i] based on linear OA(8153, 6562, F81, 27) (dual of [6562, 6509, 28]-code), using
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(8175, 1748, F81, 4, 27) (dual of [(1748, 4), 6917, 28]-NRT-code) | [i] | OOA Folding | |