Information on Result #1081106
Linear OOA(3169, 2391530, F3, 4, 13) (dual of [(2391530, 4), 9565951, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(313, 42, F3, 4, 6) (dual of [(42, 4), 155, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (7, 13, 42)-net over F3, using
- linear OOA(3156, 2391488, F3, 4, 13) (dual of [(2391488, 4), 9565796, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3156, 4782976, F3, 2, 13) (dual of [(4782976, 2), 9565796, 14]-NRT-code), using
- trace code [i] based on linear OOA(978, 2391488, F9, 2, 13) (dual of [(2391488, 2), 4782898, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- linear OA(978, 4782969, F9, 13) (dual of [4782969, 4782891, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(90, 7, F9, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(90, s, F9, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(11) [i] based on
- OOA 2-folding [i] based on linear OA(978, 4782976, F9, 13) (dual of [4782976, 4782898, 14]-code), using
- trace code [i] based on linear OOA(978, 2391488, F9, 2, 13) (dual of [(2391488, 2), 4782898, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(3156, 4782976, F3, 2, 13) (dual of [(4782976, 2), 9565796, 14]-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(3170, 2391530, F3, 4, 13) (dual of [(2391530, 4), 9565950, 14]-NRT-code) | [i] | OOA Duplication | |