Information on Result #904528
Linear OOA(8174, 4194401, F81, 2, 17) (dual of [(4194401, 2), 8388728, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 100, F81, 2, 8) (dual of [(100, 2), 191, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,191P) [i] based on function field F/F81 with g(F) = 1 and N(F) ≥ 100, using
- linear OOA(8165, 4194301, F81, 2, 17) (dual of [(4194301, 2), 8388537, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8165, 8388602, F81, 17) (dual of [8388602, 8388537, 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 2-folding [i] based on linear OA(8165, 8388602, F81, 17) (dual of [8388602, 8388537, 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(8174, 2097200, F81, 4, 17) (dual of [(2097200, 4), 8388726, 18]-NRT-code) | [i] | OOA Folding | |