Information on Result #900756
Linear OOA(2794, 4194369, F27, 2, 17) (dual of [(4194369, 2), 8388644, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2713, 68, F27, 2, 8) (dual of [(68, 2), 123, 9]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,127P) [i] based on function field F/F27 with g(F) = 5 and N(F) ≥ 68, using
- linear OOA(2781, 4194301, F27, 2, 17) (dual of [(4194301, 2), 8388521, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2781, 8388602, F27, 17) (dual of [8388602, 8388521, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 2710−1, 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(2781, large, F27, 17) (dual of [large, large−81, 18]-code), using
- OOA 2-folding [i] based on linear OA(2781, 8388602, F27, 17) (dual of [8388602, 8388521, 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(2794, 1048592, F27, 18, 17) (dual of [(1048592, 18), 18874562, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |