Information on Result #1082644
Linear OOA(8175, 2097266, F81, 4, 17) (dual of [(2097266, 4), 8388989, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(8110, 116, F81, 4, 8) (dual of [(116, 4), 454, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(4;F,455P) [i] based on function field F/F81 with g(F) = 2 and N(F) ≥ 116, using
- linear OOA(8165, 2097150, F81, 4, 17) (dual of [(2097150, 4), 8388535, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8165, 8388600, F81, 17) (dual of [8388600, 8388535, 18]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(8165, large, F81, 17) (dual of [large, large−65, 18]-code), using
- OOA 4-folding [i] based on linear OA(8165, 8388600, F81, 17) (dual of [8388600, 8388535, 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, 2097266, F81, 4, 17) (dual of [(2097266, 4), 8388988, 18]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(8175, 1048632, F81, 20, 17) (dual of [(1048632, 20), 20972565, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |