Information on Result #904515
Linear OOA(8143, 3397, F81, 2, 17) (dual of [(3397, 2), 6751, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 116, F81, 2, 8) (dual of [(116, 2), 222, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,223P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8133, 3281, F81, 2, 17) (dual of [(3281, 2), 6529, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 6562 | 814−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 2-folding [i] based on linear OA(8133, 6562, F81, 17) (dual of [6562, 6529, 18]-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(8143, 1698, F81, 4, 17) (dual of [(1698, 4), 6749, 18]-NRT-code) | [i] | OOA Folding | |