Information on Result #1184150
Digital (220, 235, 4194301)-net over F3, using net defined by OOA based on linear OOA(3235, 4194301, F3, 20, 15) (dual of [(4194301, 20), 83885785, 16]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3235, large, F3, 4, 15), using
- (u, u+v)-construction [i] based on
- linear OOA(37, 4, F3, 4, 7) (dual of [(4, 4), 9, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;9,3) [i]
- linear OOA(3228, 8388600, F3, 4, 15) (dual of [(8388600, 4), 33554172, 16]-NRT-code), using
- trace code [i] based on linear OOA(8157, 2097150, F81, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code), using
- OOA 4-folding [i] based on linear OA(8157, 8388600, F81, 15) (dual of [8388600, 8388543, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, 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(8157, large, F81, 15) (dual of [large, large−57, 16]-code), using
- OOA 4-folding [i] based on linear OA(8157, 8388600, F81, 15) (dual of [8388600, 8388543, 16]-code), using
- trace code [i] based on linear OOA(8157, 2097150, F81, 4, 15) (dual of [(2097150, 4), 8388543, 16]-NRT-code), using
- linear OOA(37, 4, F3, 4, 7) (dual of [(4, 4), 9, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
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.