Information on Result #1196230
Digital (54, 66, 1398122)-net over F25, using net defined by OOA based on linear OOA(2566, 1398122, F25, 14, 12) (dual of [(1398122, 14), 19573642, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(2566, 4194367, F25, 2, 12) (dual of [(4194367, 2), 8388668, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2510, 66, F25, 2, 6) (dual of [(66, 2), 122, 7]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(2;F,125P) [i] based on function field F/F25 with g(F) = 4 and N(F) ≥ 66, using
- linear OOA(2556, 4194301, F25, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-code), using
- linear OOA(2510, 66, F25, 2, 6) (dual of [(66, 2), 122, 7]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (120, 132, 2796244)-net over F5 | [i] | Trace Code for Nets | |