Information on Result #1014662
Linear OOA(8109, 699068, F8, 3, 17) (dual of [(699068, 3), 2097095, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(810, 17, F8, 3, 8) (dual of [(17, 3), 41, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,42P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- linear OOA(899, 699051, F8, 3, 17) (dual of [(699051, 3), 2097054, 18]-NRT-code), using
- OOA 3-folding [i] based on linear OA(899, 2097153, F8, 17) (dual of [2097153, 2097054, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2097153 | 814−1, 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(899, 2097153, F8, 17) (dual of [2097153, 2097054, 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(8108, 699067, F8, 3, 16) (dual of [(699067, 3), 2097093, 17]-NRT-code) | [i] | Truncation for OOAs | |