Information on Result #1018807
Linear OOA(8175, 2796317, F81, 3, 17) (dual of [(2796317, 3), 8388876, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 116, F81, 3, 8) (dual of [(116, 3), 338, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,339P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8165, 2796201, F81, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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(8176, 2796317, F81, 3, 17) (dual of [(2796317, 3), 8388875, 18]-NRT-code) | [i] | OOA Duplication | |