Information on Result #694779
Linear OA(2774, 531483, F27, 17) (dual of [531483, 531409, 18]-code), using construction X applied to C([0,8]) ⊂ C([0,4]) based on
- linear OA(2765, 531442, F27, 17) (dual of [531442, 531377, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(2733, 531442, F27, 9) (dual of [531442, 531409, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 531442 | 278−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(279, 41, F27, 7) (dual of [41, 32, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(279, 48, F27, 7) (dual of [48, 39, 8]-code), using
- extended algebraic-geometric code AGe(F,40P) [i] based on function field F/F27 with g(F) = 2 and N(F) ≥ 48, using
- discarding factors / shortening the dual code based on linear OA(279, 48, F27, 7) (dual of [48, 39, 8]-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(2774, 265741, F27, 2, 17) (dual of [(265741, 2), 531408, 18]-NRT-code) | [i] | OOA Folding | |