Information on Result #894994
Linear OOA(3127, 4783071, F3, 2, 10) (dual of [(4783071, 2), 9566015, 11]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 103, F3, 2, 5) (dual of [(103, 2), 193, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (8, 13, 103)-net over F3, using
- linear OOA(3114, 4782968, F3, 2, 10) (dual of [(4782968, 2), 9565822, 11]-NRT-code), using
- trace code [i] based on linear OOA(957, 2391484, F9, 2, 10) (dual of [(2391484, 2), 4782911, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(957, 4782968, F9, 10) (dual of [4782968, 4782911, 11]-code), using
- discarding factors / shortening the dual code based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- discarding factors / shortening the dual code based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- OOA 2-folding [i] based on linear OA(957, 4782968, F9, 10) (dual of [4782968, 4782911, 11]-code), using
- trace code [i] based on linear OOA(957, 2391484, F9, 2, 10) (dual of [(2391484, 2), 4782911, 11]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(3128, 4783071, F3, 2, 10) (dual of [(4783071, 2), 9566014, 11]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(3127, 2391535, F3, 4, 10) (dual of [(2391535, 4), 9566013, 11]-NRT-code) | [i] | OOA Folding | |