Information on Result #1196750
Digital (90, 110, 838873)-net over F25, using net defined by OOA based on linear OOA(25110, 838873, F25, 22, 20) (dual of [(838873, 22), 18455096, 21]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(25110, 4194366, F25, 2, 20) (dual of [(4194366, 2), 8388622, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25110, 4194367, F25, 2, 20) (dual of [(4194367, 2), 8388624, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,121P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2596, 4194301, F25, 2, 20) (dual of [(4194301, 2), 8388506, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2596, 8388602, F25, 20) (dual of [8388602, 8388506, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2596, large, F25, 20) (dual of [large, large−96, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(2596, large, F25, 20) (dual of [large, large−96, 21]-code), using
- OOA 2-folding [i] based on linear OA(2596, 8388602, F25, 20) (dual of [8388602, 8388506, 21]-code), using
- linear OOA(2514, 66, F25, 2, 10) (dual of [(66, 2), 118, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(25110, 4194367, F25, 2, 20) (dual of [(4194367, 2), 8388624, 21]-NRT-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.