Information on Result #899628
Linear OOA(2581, 4194353, F25, 2, 15) (dual of [(4194353, 2), 8388625, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2510, 52, F25, 2, 7) (dual of [(52, 2), 94, 8]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,96P) [i] based on function field F/F25 with g(F) = 3 and N(F) ≥ 52, using
- linear OOA(2571, 4194301, F25, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-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
None.